By next year we shall see the result of the Libra development and if its going to be a successful launch, do you think one day we shall see a facebook login button on exchanges like binance? Would you login to it?

I have seen this on websites like medium.com. Worse is taht not only binance but also kraken and bittrex

Definitely not Facebook has weak security features, you should never use it to log in to anything investment websites where you have an investment, and I don't think the exchange will add this feature, because of Facebook vulnerability.
Email and strong passwords are still the best options, and 2fa to fully secure your account, exchanges and wallets are very important to have a third party interference.