Ali was followed by Husseyn which is when Aisha's proto-Karaites saw their opportunity and had Husseyn killed to established themselves on the throne instead. That lead to a civil war. Muawiya won but agreed that Husseyn would be his successor as king of the Arabs.
=660s=Sebeos indicates that the Caliphate is a satellite of the Antichrist and depicts Muawiya as rejecting Christ, but according to other sources, Muawiya's daughter was baptised.