The US does need to use Turkey to contain China. China is really not a country that can be contained by the U.S. alone right now .Turkey is still one of the most important countries for the U.S and NATO in that region. They need a strong country like Turkey to block any possible threat from Russia and China. Many people forget China but the real danger is China at the moment. Their influence in the Middle-East, Africa and even Europe is getting bigger and bigger. Economically and millitary. They cant block Russia and China with a comedy country like Greece.
So a powerful Turkish Air Force is important but they are afraid that Turkey is getting too powerful as Turkey has important defence projects like the TF-X. They try to find a balance in this matter. Powerful but not too powerful.
The United States will need the help of not only his allies, but as many other countries as possible, in order to successfully contain China.
Personally, I don't think the U.S. has much of a chance of winning because its own problems are so severe that it's like a boxer with a serious illness going into the ring.