1. Criticism is not blocking.
2. It's a military invasion. The precedent of Operation Olive Branch indicates that calling this an "effort to stabilize" is an abuse of semantics.
3. Do you have any source indicating that Kurdish control is contributing to the displacement of people?
4. More about "efforts to stabilize": "Criticism of Turkish alleged support for Jihadists, including ISIL, and of targeting Kurds" https://en.wikipedia.org/wiki/Turkish_involvement_in_the_Syr...