This isn't the situation, but what if a country unleashed a small scale nuclear device on their people. Would we stand by?
Countries shouldn't use certain weapons, such as chemical, against their own people. I'm not saying we should go to war, or we even have anything to gain, but there has to be some sort of line we don't let people cross without repercussion.
Here is my problem with the "But we have to do SOMETHING!" mentality...
War is all about strategy. We can't just send a handful of missiles over there to "make a point" because it doesn't work. It didn't work for Bush I in the 90's, as Saddam Hussein didn't go, "Aw shit, I suppose I shouldn't massacre my own people!", he just went right back to doing what he did.
The endgame in Syria is much much worse. Syria is in bed with Russia. Putin is a very agressive old school KGB man, he wants Russia to be feared like it was in the 70's and early 80's, and he won't pussy out either. Iran and Israel are going to start shooting at each other when this goes down, Russia will step in on Syria's behalf, and we have the starting of WWIII right there and caused by the USA and it's narcissistic President.
We don't even have tangible proof that Syria is the one using the chemical weapons. Remember... We went to war with Iraq based on the intelligence that they had WMDs. We gave them all kinds of time to hide the WMDs, and they did (by taking them to Syria) and now everyone wants Bush II's head for going to war over lies because no one knows where the WMDs went. So we're using this info against Syria now, and Britain figured out that this is a bad idea, so they've backed out. Last I heard France is backing out, so we're standing alone.
Nothing good will come from this. It's a bad idea. While it's horrible that the chemical weapons are being used, we cannot prove it is coming from Syria's government and isn't a fake out by the Muslim Underground to gain power. Oh yeah, don't you know about them? They did such a great job in Egypt that they're revolting to get them back out and want Mubrack back. Who jumps into power in Syria? Yup, Muslim Underground.
We should not do it. It is a bad move tactically, politically, and will cause way more problems than it solves.