Israel does this kind of payback all the time. After terrorism, they pick out targets to punish and lob missiles at them.
Also, if the the threat is significant, they will do short term invasions and pull out. In America, we are not used to this kind of thinking. In the first gulf war, Bush Senior did pretty much that. They went in, blew up a bunch of things, killed a lot of the enemy and left. Now, after our long term engagements in Iraq and Afghanistan, a lot of people think that would be a better way to go. Less blood and treasure to send a message.
We are NOT going to change these people. There is a good chance that the "rebels" are as bad as Assad, or worse. Remember when Reagan bombed Tripoli? When we were in Lebanon? When it became apparent as to what we were dealing with- we left.
When was the last time Israel lobbed at an urban-based government, or anything but Hezbollah in the hills? I might be wrong, refresh my memory.
Israel does ground work. Reach out and touch someone. The covert Syrian nuke 'intervention' was not missle-led or missle-lobbed.
If you meant they use us/US by proxy for Tomahawk bell-ringing, not this time. They know, as does Asswad, as does the rest of the world, you want him out, you got to go in with boots and get him. This isn't Libya by a longshot.