Israel favors anything that destabilizes its neighbors in the ME.I doubt it. Israel doesn't want either side victorious (unless the small weak democratic, rights supporting movement counts). In fact I'm sure that many there would rather keep Assad because he at least kept the advanced weapons under central control and was not willing to risk his own neck to launch an attack which jihadist groups would be willing to do.
If you think Obama has any interest in bombing Syria other than to appease the powers he's beholden to, you're sadly mistaken. Syria is not a threat to the US, and likely never will be.
Yes, the president painted himself into a corner with his tough talk but he's just been vocalizing the words and interests of his powerful handlers. He's not the first president to go down this road. Now he'll have to follow through and the US won't be better off for it.