Kurdistan actually doesn't cause that many problems.
The problem is Sunnis and Shias living together which can't be helped.
Not in the current situation, but we were discussing the hypotetical effect of different borders being establihed after WW1 and an independent Kurdistan (incl. the Kurdish parts of Turkey and Syria) would have avoided many conflicts in the region. A Sunni/Shia division back then would also have been benefical.
In the end an ethnic/sectarian division in a southern Shia region and a central Sunni region (incl. Baghdad) is more or less unavoidable by now. Its going to be a long and bloody road to get there, but it will be the result. So in that sense it will be "helped".