It's difficult to define the assault on reality because it's also difficult to define what is "mainstream culture." It's dynamic.
On a personal note, I view the assault on reality in relation to "initiation", we give information to a person that will change their lives forever. Only, when it comes to the assault on reality, we give them that info whether they like it or not. It's similar to Hakim Bey's poetic terrorism or Discordianism's Operation Mindfuck.
True, some people will prefer the "blue pill" to the "red pill" ... but I do believe that human nature is to take the red pill. Either that or I have very little respect for people who want to live like braindead zombies.
The simplest way of living the assault on reality can be summed up by this quote from Albert Camus — 'The only way to deal with an unfree world is to become so absolutely free that your very existence is an act of rebellion.'
Just talking with someone, listening to their BS well enough to ask them only one, well-placed question is an integral part of the assault against reality. Going to a bar or at a party, breaking out the tarot deck. Carrying healing herbs with you when you go to work and at parties to help people with their headaches, stomach aches or colds. Buying a few beers for someone just so that, for one night, they can feel free and look back on that feeling with nostalgia. Having fun. Anything to break the curse of the greyface, as Discordians call it.
But I'm just arguing psychology right now.
As psychology as with magic, different people have different talents. If your magic can't do jack shit, then it's not magic that is the problem, it's you. And magic should first and foremost be a work on you - the initiatic process - before you go out and destroy the world.
What I mean to say, magically, is that the assault on reality is all about going over the top. It's one of the more difficult aspects of magic, especially in this crazy world where everything si over-controlled to make sure that not one single act of magic slips through the cracks. Now people look at their phones more than they look at their surroundings - you could summon the goddamn devil and they won't even notice - or think he's just a wierd guy in an ugly costume.
Which brings me to the propaganda strategy of the assault on reality. Just telling people that magic is real and they should try it can be awesome. It strikes their imagination, that little part of them that is unsatisfied with being stuck within the government boundaries of sanctioned thought.
"The great fascination of magic is in the type of thought on which it is based. Magical thinking is not random, it has its own laws and its own logic, but it is poetic rather than rational. It leaps to conclusions which are usually scientifically unwarrented, but which often seem poetically right. It is a type of thinking which has been prevalent all through the history of Europe, which lies behind huge areas behind of our religion, philosophy and litterature, and which is a major guide-post to the regions of the spiritual and the supernatural, the regions of which science has nothing to say. There is no necessity to accept it, but it rings many a far-away, summoning bell in the depths of the mind." Richard Cavendish, The Black Arts
I'm rambling away I think.
tl;dr My point is: the more creative you can be about the assault on reality, the better.