@hightor,
The United Stated has pursued an ambiguous policy with respect to Kurdish independence for several decades . Trump hasn't changed anything here. We have been generally sympathetic to Kurdish efforts at achieving an independent state in a territory that embraces parts of Turkey, Iran and Iraq, but at the same time hindered by political factors involving our relations (and alliances) with (some of) the neighboring states cited above.
Kurdish independence is an issue that goes back to the dissolution of the former Ottoman Empire, mostly at the hands of Britain and France after WWI. The Boundaries of Iraq were set by British colonial authorities in the 1920s, and a "Kurdish Autonomous Area" was soon afterwards established within it. Frictions developed within Iraq between the resident Kurds and the Baathist rulers of Iraq soon after their overthrow of the British installed Hashemite Kings of Iraq in 1958.
Following the U.S. overthrow of the Saddam regime internal frictions broke out between the new Shia-controlled Iraqi government, the formerly dominant Sunni population, and the Kurds. The U.S. "surge" in Iraq had significantly pacified the situation for the Sunni and Kurds, however the rapid and premature withdrawal initiated by Obama led to a resurgence of Sunni extremism, ISIS, and a new alignment for the Kurds, who were sorely pressed by the Sunni extremist ISIS movement.
Independently of all this, frictions between the Turks and Kurds in the Southwestern parts of that country had been going on for several decades. The rise of Turkish President Erdogan, who, among other things, sought to unravel the tradition of secular government installed in Turkey after WWI by Mustafa Kemal (Ataturk), and enhance the restoration of traditional Ottoman Sunni Islam- all significantly complicated the already complex problems attendant to Kurdish nationalism. This, plus (1) the growing disaffection between Turkey and the EU powers which (understandably) rejected Turkey's application for membership; (2) the ongoing Civil War within an Alawite ruled Syria ; and (3) the rise of in insurgent Sunni/ISIS state within Syria and a (now largely defeated) participant in the civil war - all further complicated the problem of finding a stable, lasting remedy for the Kurds.