Turkey and Russia made friends, you're smoking if you think this is going to bring them to war or that the Russians are going to bomb anywhere other than Syria over it.
It's a bit more complex than that. The current strongman is friendly with Russia. Turkey historically and as a country isn't always. Remember that they are a NATO country and within living memory allowed us to stage strategic nuclear weapons there.
Or the minor fact that Turkey 'owns' bit under a hundred US nuclear warheads under the NATO nuke sharing program. They can't be armed without codes from the US, but they administratively own nuclear weapons without needing a domestic nuclear program and without some of the other downsides of having a nuclear weapons program. They get the latest US nuclear weapons, the B61.
Do concur that they'll use this against Syria. It does help their cause that the police officer made statements on tape that the assassination was over Russian involvement in Syria.
As for the folks saying we need to kick Turkey out of NATO, I'll remind everyone, Incirlik Air Base. It's been a strategic facility for sixty years.