There are problems with AGW theory... but moreso in terms of the myriad idiotic predictions of every possible bad thing happening as a result of some warming (too hot, too cold, more bugs, less bugs, etc etc.), usually done to further some vested interest. This has developed into a robust cottage industry that i've been observing since the Summer of 1988 with a low success rate of accuracy. Regardless, earth has warmed in aggregate, even discounting the data manipulation controversies and scandals over the years. One can argue how much warming has occurred but there has been a couple of degrees of warming. Its not unreasonable to think human activity (CO2) has had an impact - although being able to parse how much of the temperature rise is soley due to human influence vs other factors (cycles etc), is impossible...and that's where politics and stupidity gets involved. And where I check out of such discussions...
Frankly, given where we live, a little bit of warming isn't the worst thing that could happen.