Those who followed Moses, Jesus, and Muhammad who believe in one god are all called Muslims this is the name given to Abraham by God
"Muslim meaning those who submit to the creator of the heaven and the Earth and the one true god "
This has been passed down by God to Abraham.
"Our Lord! Make us Muslims, bowing to your [will] and our progeny a community Muslim, bowing to your [Will]
Our Lord! Send amongst them a Messenger of their own who shall we rehearse Your Signs to them and instruct them in Scripture and Wisdom and sanctify them for you are the Exalted in Might the Wise"