If there is one thing the massive, well equipped and well trained Turkish army is good at, is protecting its borders. I don't see the country overflowing with Iraqi or Iranian refugees following conflicts in their countries and so neither do I fear the same should Turkey be drawn into the current Syrian conflict.
You can be sure that if military action is called for by the USA or NATO, there is more chance that the UK will be called into the conflict and with both Russia & China still unconvinced that military intervention is appropriate, then I feel that could be more of a concern.