The Obama administration isn't wary about Libya.
'The question of Islamic fundamentalists among the rebels is one of the murkier issues for Western nations who are aiding the anti-Gadhafi forces with airstrikes and must decide how deeply to get involved in the fight. Some countries, including the U.S., have been wary â?? partly out of concern over possible extremists among the rebels. - AP'
I don't think it's correct to characterize the Obama administration as "wary" about Libya's rebels. A government that was "wary" would not commit itself to wage war on the rebel's behalf. It's more accurate to say that the administration jumped into the middle of a civil war about which it knew absolutely nothing about on behalf of rebels about which it also knew absolutely nothing about.
There are a lot of words to describe that behavoir, but "wary" isn't one of them