Problem is, this action is illegal, as the UN Security Council has vetoed it (5 members), and Turkey is the aggressor having already crossed the border to aid a internal Syrian insurrection (also illegal).
In short, Obama is trying to start an illegal war to advance the Muslim Brotherhood to control of the Middle East.
Russia has an axe to grind with NATO, and will make it go very badly for NATO, and will get backing from China and Southeast Asian nations. Russia backed down NATO over Georgia, and Bush was wise not to push it, while Obama wants war because it will greatly weaken and punish America's military while strengthening the Muslim Brotherhood and it's goal of the World Caliphate.
Right you are. Assad has absolutely nothing to gain by starting a Turkish-Syrian war. But both the Turks and the islamists inside Syria would have much to gain.