Unfortunately I have no idea what that way of thinking is or what he is trying to say about it, and, frankly, at this point I don't care very much. So far his unintentional point is that this style of writing is hard to do well.
Sorry Steve - I read the whole thing, but I don't understand it well enough to know if it's actually disrespectful, or if I should be mad about anything. Hopefully parts four and five will shed some more light.
The point of the whole Dawkins/COMA bit is to show that the universe is yet another embedded system from which data can flow in and out. The two human boys being teleported into the virtual tour is akin to Luigi's kart being "zapped" out of a video game and into some other process space. The odds of either occurring are astronomical, but the singularity, being a sufficently smart programmer of the universe, intervenes to make the former happen.
If there is a main point I guess it would be that what lies beyond the boundary of the universe is unknowable and stranger than human imagination.
Any sufficiently advanced technology is indistinguishable from magic.
The poor and dispossessed brothers represent mankind's thirst for freedom, for opposition and resistance. They symbolically kill Darwin, the story's central power figure and the main avatar of the hegemonic singularity. Yet they do so in an attempt to erase the boundaries between themselves and that oppressive structure. Darwin, whose domination of humanity has rendered him godlike, grants them their wish and transforms them into the insipid tourist children they wish to become. In the end, their struggle for justice and self-determination has come to nothing, and they go, indistinguishable from the other siblings, for ice cream.
You should also consider its similarity to the 1975 short story 'Let's go to Golgotha'
You might be able to draw a comparison between the Singularity and the Judaeo-Christian God as well as Dawkins and Jesus.