The early Church, especially in the 4th-6th centuries, often experienced many separations and theological divisions. Some of the sects that emerged were the Nestorians, Monophysites, etc, and in their time, these made up significant churches across the Middle Eastern and North African world. But they don't really exist anymore today. In fact, I haven't seen much about them in the centuries after these at all. It appears they disappeared.

Is the reason why all these heterodox sects disappeared because of the rise of Islam? In the 7th century, Islam rapidly took over the Middle East, North Africa, and other regions where such heterodox sects appeared to thrive. Over subsequent centuries, the local populations began to convert to Islam largely due to avoiding the poll tax placed on non-Muslims. Thinking about it, this makes perfect sense, to me, as the means by which these heterodox sects died out. Is this correct?