This is just one more reason why there can never be a syncretistic religion that involves both Christianity and Islam. We Christians would indeed hold that God is capable of having his infinite presence and power residing in a finite human being, for that is exactly what we mean when we speak of the indwelling of the Holy Spirit in one's life. That you can't imagine that we would see as telling God that he is incapable of something. I know you don't see it that way. Just as I don't see the idea of Jesus as God as being paradoxical in a way that would prohibit it from being true.
There is actually a movement called Chrislam. I've read about it in several places. I was visiting a Christian site not too long ago. There was a bishop(ess?) in the Episcopal Church who claims she's both a Christian and a Muslim. Of course, as a born again Christian I don't believe that the two faiths are compatible, I was just pointing that out.
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