Centralised exchanges and the main way government keeps tracts of Bitcoin and crypto holders and trader, so I doubt it it will ever be banned, it will only be more heavily regulated, more than itbiw already, but it won't be banned.
While that's true that these centralized exchanges play a vital role in the tracking of their users as per local governments' way of asking for data through them. They can release and send it to the government if they ask for it even without prior notice to the users. However, there are some countries that really don't favor exchanges even if they are centralized although the number of these countries are really few.
But anyway, if all exchanges are banned, bitcoin would still be here and strong. I can't say what would happen to all other cryptocurrencies, but I know bitcoin would still be here. Some altcoins too will be here, but most of them will b forgotten because one thing that really promotes altcoins Re CEX, especially when they're listed on various exchanges.
Bitcoin might see a fast dip in price after CEX are banned, but it would be temporary and for a short period, with time, it would recover and it would be like nothing happened. People will adapt and find other decentralised means to trade bitcoin.
You're right, that's what is about to happen when most cexes will be banned globally. But as for this temporal sensation, we will definitely see the effect of it for the crypto market and mainly on Bitcoin's price. Anyway, everyone will still find a way to trade from crypto to fiat whether it's with OTC, p2p or any other ways.