He doesn't admit it because he doesn't believe it.
He doesn't believe it because he doesn't WANT to, and since he's the most important and powerful man in the world, he feels that what he wants, he should get.
He WANTS Islam to be a Religion of Peace, so, presto -it is!
You said -- "He WANTS Islam to be a Religion of Peace, so, presto -it is!"
That's his *number one* failure of this whole thing (notice I didn't say WOT, because it isn't!).
Regards,
Star Traveler