Except muhammed was born about 570AD. And muhammed invented Islam by taking stuff from other faiths, making up more stuff, than claiming to be a prophet. Just like Constantine he began uniting people of different beliefs under a common one.

^^^^^^^
Exactly, for political/power purposes.
That's what I was trying to point out earlier on a similar thread about an NPR interview with a Muslim intellectual who stated that Islam is a political ideology and not religious.