This post has been removed, as it asks for a discussion of current affairs, which is outside the scope of this subreddit. You might consider posting this question to a sub that specializes in current affairs and/or US/Middle Eastern politics. Perhaps /r/politics
You are right, I believe, to conclude that the USA should intuitively support the Kurds, who like you say tend toward the secular, the democratic, and various social ideals that are closer to Western ideals. The problem with the Kurdish people is that they are spread across three countries: Iran, Iraq, and Turkey. Before the fall of the Iranian Shah in 1979, the US would risk a great deal by advocating Kurdish independence because of its ramifications in Iran. Similarly, the US tended to support the oil-producing government in Iraq, and so it, again, was not likely to support Kurdish independence because of its support for Iraq.
After the fall of the Shah, it might have been tempting to cause a little mischief in Iran by encouraging Kurdish nationalism, but the ramifications for Iraq were almost always profound - both when it provided the USA with oil and then after the 2003 invasion when the USA was attempting to hold the country together.
And then there is Turkey - perhaps the largest stumbling block regarding this topic. This secular Islamic nation and member of NATO has always won special consideration from the USA, during the Cold War and after. And needless to say, Kurdish nationalism was not something the Turks would want to see in the eastern part of their country.
The Kurds have the misfortune of being both a natural potential friend of the USA and also to occupy land in places where the USA has not been able to afford to encourage nationalism. The current situation may provide the Iraqi Kurds with one of the best opportunities to proclaim complete independence in a way that allows the USA to look the other way.