I doubt that the inhabitants of Syria would welcome a foreign invasion, even against ISIS. Because that would mean a proper invasion, sending thousands of men on the ground, bulding bases and infrastructures, securing all this shit. This is hardly compatible with the existence of a sovereign government in Syria. Plus, how long would we need to maintain troops? Terrorists can hide, just like the Taliban did in 2001, and counter-attack a few years later.
Stop supporting other jihadi networks such as the Al-Nusra Front and that will be a great step forward! There are enough troops fighting on the ground: the Syrian government, the Hezbollah and the Kurds. That's more than enough to win a war.
But you know that all this troops fight each other you know?
No. The Syrian government, the Hezbollah and the Kurds are allies. Although the Kurds had a rather neutral position at the beginning, and sometimes fought against government forces, there was never open opposition between them. Then, as the conflict evolved and the jihadists became more and more threatening, and started attacking the Kurds, and as ISIS rats invaded Syria, the Kurds clearly allied to government forces.
The Hezbollah has been behind the Syrian government for years, long before the beginning of the war.
FSA is still officially fighting against the governement, but Moscow has begun negociating with them and now they are providing intel on ISIS.