Israel simply wants to be assured that the US has their back. Not really for this situation but for the much larger issue that is Iran and their nuclear development. You make it sound like Israel likes war but they do not. Right now they are not really publicly saying anything. They may view this simply as a test of the personal resolve Obama may have, more then they want a strike on Syria. Israel is much more comfortable understanding and knowing the enemies they have and have had for decades rather then having to accommodate for newer and potentially more radical ones. So honestly they are content with a nice simply stalemate in Syria as long as it does not spill into their own borders. They know Assad and they know Hezbollah. What they do not want is a more radical presence taking over with large stockpiles of weapons laying around.
Saudi Arabia is a totally different matter. You don’t need to look far to find serious connections between SA and extremist groups. This is all primarily due to Shia verses Sunni sects. As Iraq fell, that tilts the power balance in a fairly strong manner to the Shia sect which SA is not. Look into the matter and you see that SA is probably one of the strongest backers of the rebel forces.
This is not necessarily a good thing.
Honestly it is a really complex situation. Several parties have a vested interest in the outcome but they are all in the interest of self preservation. There is nothing wrong with that.
Once more, you seem to boiling your decision into two distinct classes. First, we need to do this to show “them” whoever them is, that they will have pain inflicted upon them if they use chemical weapons. Second, that it is justified to do this because this or that nation “wants us to”.
You seem to have little to no regard for possible negative outcomes that frankly can result is many many more deaths, more refugees, and can lead to further destabilization of the entire region.
