Eh, do what you like, but I don't really think the game lampoons him.
There are a few jokes about Obama in the first few minutes of the game, but it's nothing criticizing or serious, and that's about the extent of any quips made about Obama. I never criticize Obama or mean to criticize him, because I like Obama, too (otherwise I wouldn't be making this game). If anything, the game makes him out to be a hero, in my opinion, which it should, considering that he's the protagonist. :P
Still, it's not like you can see that for yourself unless you play the game (which you can't even if you wanted to right now), so suit yourself. :)