I don't know. Culture and circumstance maybe. I guess you'd have to try and understand how it was in Arabia in the 7th century. Seeing as how it is infested with barbaric ideologies in modern times I'm sure back in those days was even worse. Mohammed would be a product of his culture. I don't consider him to be a messenger of anyone. The Jesus who spoke the Sermon on the Mount would have been deeply Jewish. Perhaps trying to reform his culture and religion . But you are Christian Motar and probably believe in the trinity. which I do not. So your god,,and the god of islam ,,in your theology,,would probably not be the same person,,or persons.
In the long run what does it matter. You're either a decent person or you are not. All these religious beliefs are just something to speculate about.
The thread title concerns worship, LL. An easy definition for worship is " to ascribe ultimate worth."
Every person worships (ascribes ultimate worth to) someone or something. I would suggest that Muslims and Christians are as different in worship as agnostics, atheists and theists.