General Mung Beans
Banned
From a religious stand point there is a bit of a problem with Muhammad's pedigree. To be a Jewish Messiah you have to be a descendant of the House of David. So unless you ASB away his ancestry he can only run for divinely anointed king of the Arabs. Now if you say that some Jews have to convert for it to fufill the OP but it doesn't have to maintain a Jewish identification then you can just paste on the Christian model and get a fair idea of what would happen.
I'm sure it could be thought that for example that Muhammad was the man most related to the House of David due to the rest of the line being extinct.
Well as has been previously stated they are called that because many are ethnically Jewish. In the long term as this Messianic Mohammedan group grows that is likely to cease to be the case. Much like Christianity.
Well Mohmadean Judaism would also be ethnically Jewish.