Can a Jewish person believe Muhammad was a prophet?

I’ll start off by saying I am a western gentile atheist; I don’t have skin in this game. However, I have been thinking of world religions, and have some questions. It is pretty obvious why Christianity is incapable with Judaism. Christians believe God is somehow three persons but one person at the same time, and that a man two thousand years ago was God who had taken on human flesh. Islam is much more properly monotheistic. Can a Jewish person believe that Muhammad was a prophet? I don’t mean a Muslim of Jewish ancestry, but a practicing religious Jew who believes that Muhammad was a prophet sent by God to teach gentiles. Also, if a Jewish person decided to visit a mosque to pray or to visit the Kaaba, would that make them a “bad Jew”, religiously speaking? Thank you