Yes, there is plenty of valid reasons to criticize him: Not shutting down the Guantanamo POW camp, not trying to repeal the PATRIOT act and allowing the NSA to illegally keep spying on Americans, often giving in to the Republicans, etc. The fact that these idiots keep harping on some false birthplace conspiracy theory shows that they don't actually care about issues, they just don't like him for some other reason.
Christian apologetics is the art of rolling a dog turd in sugar and selling it as a donut.