Oh, I think that Q is definitely capable of doing such things - after all, a few years passed in the continuum in the space of ten minutes in Q2, so it can be inferred that for Q, between each appearance, centuries pass. Q's used to long term planning like that.
But I do agree with Lt.Cmdr.LaForge
that Q's not quite a bastard, really. I think he sees something in humanity that he likes and the things he does are his little ways of pushing humanity to maybe, just MAYBE, take the step to get to his level - it would certainly shake things up in the Continuum.
Really, he's less a bastard, and more like... a master with a beloved pet. *Off looks* It's... just an analogy.