@revelette1,
Well, I personally think that a moral case could be made that we should help the Syrian rebels resist that evil bastard Assad. However, you would never be able to sell that politically in the U.S.
We don't need to send in more troops (and mostly we provide air support--the French coalition provides air support,
and troops on the ground). The French force is not large, but they are special forces, and many small NATO nations in Europe have sent their small contingents to the French force in Syria, because they are actually fighting Islamic State; the Kurds in Syria, always a formidable fighting force, also operate with the French. Canada (also a NATO member) provides air support.