What makes you think that is the glue? I could pick from quite a list of other factors that I could equally claim were the glue, and ascribe some other, relatively superficial or incidental, non-core role to Islam itself.
Saying its the glue implies that one hell of an effective way to destroy the current state of affairs would be to destroy the effectiveness of the glue. I don't see how thats actually an option if you think the glue is Islam, so whats the point going down that route?
There are other variables that can and at some point probably will change, and they will be the difference-makers one day. The level of Muslim belief won't need to change in order for the game to change, nor will Islams teachings, and I consider that a bloody good reason not to overplay its role. Its the obvious factor, too obvious, the other ones bear more fruit but are far less often mentioned.