Was Muhammad a False Prophet?

Would “false prophets” include Muhammad? It’s an impolitic question to ask in these politically correct times, but, thanks to political correctness these are also highly dangerous times. Since a good deal of the danger emanates from the religion Muhammad founded, it seems reasonable to ask if he was a false prophet. And if he was, does that mean that Islam is a false religion?  And if it is, why are Catholic leaders so keen on declaring their solidarity with Islam?

It’s a case of either/or. Either the New Testament account of Jesus is true or Muhammad’s account is true. Since they contradict each other, they both can’t be true.