I doubt there would be any war between the West and Erdogan's Ottoman Empire anytime soon. The West is just too powerful for Erdogan to fight against. My prediction is that Erdogan will flip-flop again. He always does that. I do think that he will betray China one day. He could play the Uighur card again like he did back in 2009. The Grey Wolves, TIP and ETIM are his pet terrorists. He could resume supporting them again against China at any time. It'll help to progress his Pan-Turkic agenda, while at the same time defuse a lot of the tensions with the West. The West would see him as a useful tool to destabilize China, and so they'll suddenly become great friends with him again.
Turkey has never respected China and considered China to be their friends. They always have hostile attitude against China. Turkey never gave up Ottoman 2.0 and East-Turkestan dreams. Currently, Turkey is silent and avoid using Xinjiang problems to insult China, because they need Chinese money and technology.
First: Turkey tries to blackmail China in the Aircraft Carrier event. China has conceded Turkey with agreements related to investment and tourism
Second: Turkey shows friendly face, cheating China MLRS technology transfer.
Third: Turkey continues to deceive China in the HQ-9 bidding agreement. The truth is that Turkey wants to use China to put pressure on, forcing other countries to transfer the entire air defense technology and vice versa.
Fourth: Turkey repeated old tricks, wanting China to transfer them all Type-081's designs and technologies
And now, Turkey began to care about China's 5th generation aircraft technology and they wanted money from China