This is a very silly theory.

"The purpose of the Dharma Initiative was world peace"
The purpose of the DHARMA Initiative was the creation of a multi-purpose social science research facility. To what end, we don't know.

defensive weapons to protect the island - their base - including the mechanical monster, sharks, the black fog
Except the "mechanical monster" is most likely what the black smoke is. And the sharks are defensive weapons? What, to keep someone from swimming onto the island? It's much more likely the shark was on the island for zoological research, as the Swan's orientation film said was one of the aims of the DHARMA Initiative, just like the polar bears.

With the technology hinted at in the Orientation film (and Hurley's comic), these scientists are able to remotely - via electromagnetism - control objects, such as cars, galleons, planes, lottery balls, and also induce vision in minds of a weakened state, such as those that are drunk, drugged, exhausted, or sick.
What does Hurley's comic have to do with anything? And some mysterious "collective consciousness" manipulated fucking lotto balls through electromagnetism? Come again?

Let's look at Alvar Hanso - the founder of the Dharma Initiative
Alar Hanso is not the founder of the DHARMA Initiative. He merely provided the financial backing through the Hanso Foundation.

In the same vein as Watchmen by Alan Moore and Dave Gibbons, the big bad guy (Hanso was an arms dealer/manufacturer) actually had good intentions. The CC disrupted the Earth's magnetic fields to such an extent it was like a massive global EMP bomb had gone off: all electrical equipment was burnt out, all computer data was lost, planes fell out of the sky, and the world was set back decades technologically AND united against a common, non-human, non-political, non-religious foe: nature (or what they thought was nature).

This was the moment the Lost plane was brought down from the sky
Yet somehow the Oceanic's transceiver still worked, the radio and radar electronics in the Nigerian plane still worked, the two-way radio the tailies found still worked, etc, etc. And the provision resupply drop by parachute suggests outside aircraft are still operating, so it's doubtful that the island was magically protected from the big bad pole reversal.

That so many survived and that so many survived from different pieces in different locations is impossible
It'd be a pretty boring show if everybody died. People have survived high altitude crashes before, anyway.

further suggested by the fact that Goodwin and the bearded chap seemed to know these people - or at least their names - even before meeting them!
Except Goodwin put together a list of the tail-section survivors. Just like Ethan Rom was supposed to do, but was discovered before he could complete his task. And since Ethan reports to Mr. Friendly, of course he's going to know the names of the mid-section "leaders".

removed combs and hairbrushes from the plane/passengers. The tiny electrostatic intereference that brushing hair causes would make it difficult for the CC to tamper with their minds.
So a throwaway line that Claire told to Kate, in order to break the ice with her, actually has a sinister meaning! I guess the Others also combed through the airliner's bags for any tinfoil to prevent the survivors from making tinfoil hats to keep the evil COLLECTIVE CONSCIOUS MIND CONTROL BEAMS from getting in. :tinfoil: :tinfoil:

As Jack awoke, the black fog that had placed him there ascended into the canopy. He blinked and it was gone. Not a pupil dilated, but a reflection!
Like someone already said, no no no no. It's his pupil. The commentary even states, I believe, that the pupil dilation was a computer generated effect.

The electric nature of the black fog is also evident in a season 2 when Eko confronts it - it can clearly be seen crackling with electricity.]
I'm guessing this person is referring to the flashes of Eko's memories in the smoke as the "cracking electricity".

Ray Mullen (the farmer who handed Kate over to the police (and possibly her real father)).
Ray Mullen is a DHARMA researcher? AND possibly her real father? Hahaha, what? Did the COLLECTIVE CONSCIOUSNESS coerce Kate into heading to Australia and just so happen to sneak onto Mullen's farm in the middle of nowhere? Those trixy scientists.

Among them was a boy who he/she later named 'Ethan Rom' as this child was 'MORE THAN' just a test subject! These freed children make up the Renegade Others who have lived on the island since 1967/8; by now they are onto the second generation [in direct opposition to the scientist Others (beardy)
Except Mr. Friendly was giving orders to Ethan Rom at the Staff.

the Renegades often burn material and create massive billowing clouds of black smoke to camouflage their movements from the CC].
They often create massive billowing clouds of black smoke a whopping two times in 16 years. Super magical black smoke to block the evil mind beams of the COLLECTIVE CONSCIOUSNESS.

he Dharma Initiative, severely weakened by the loss of Alvar Hanso, his funding, and other key scientists could not scour the island for the children, but concentrated on achieving the original Dharma vision of world peace, before their US Army patrons could swoop in and ruin everything.

[The hatch now has blast doors to protect the two-man team in case they miss a 108 minute deadline. However, in the event of the satellite firing, the sensitive, important information on the other side of the blast doors would be destroyed - including the scientists that make up the CC - better that than allow this technology to fall into the wrong hands.]
So the DHARMA Initiative, who is severely weakened because of the loss of Hanso and his funding, apparently still has enough cash to retrofit an underground bunker with massive blast doors? And they have enough time to do it while the US Army prepares to swoop in? Meanwhile, the blast door claim is refuted by the events of Lockdown.

Hurley's whole aim in life has always been to input the numbers; not only is he already obsessed with them, he has also been conditioned to survive in that indoor, claustrophobic environment, with nothing but TV meals and music to sustain him. Hurley seems to be unlucky when it comes to electrical equipment - fuses burn out etc - this was a deliberate strategy of the CC to discourage Hurley from meddling with electrical equipment
So the COLLECTIVE CONSCIOUSNESS made Leonard Simms insane, stuck him in the asylum along with Hurley, just so Hurley could get the numbers? Then helped him win the lottery by manipulating the lotto balls? Then somehow coerced him to Australia and then brought the flight down on the return trip? All so he could survive inside the Swan? Even though Hurley hasn't been spending much time down there and has seemed to stop pushing the button after Everybody Hates Hugo? Ok. And the fuses burnt out in his hotel and his car broke down all because of the COLLECTIVE CONSCIOUSNESS' deliberate strategy of... trying to make him miss the flight they wanted him on? What?

This is only about half-way through the theory and I could go on and on, especially about the DHARMA foster parents. :tinfoil: