Binance is not going to go down because it's been around a lot longer than FTX without any trouble. FTX was some kind of government conspiracy to take down loads of crypto users. Binance is a real business that cares about its customers and has a cool dude CZ running the show.
If Binance disappeared, to answer your question, the show would go on, in the grand scheme of Bitcoin, Binance would just be a speck on the LLama's back.