You could have made a similar prognostication at the beginning of 732 AD (before the Battle of Tours) or, perhaps, even as late as 1683 (the last siege of Vienna). But, it didn't happen. And, I think, it shall not happen. I think it more likely that we will end up putting paid to the Islamist regimes in the middle east and that Islam will fade into insignificance. Fascism looked strong, Stalinism and Maoism looked strong. The West has had dark days, but it has held. Europe may be exhausted, but America can meet the challenge.
So tell me, what will it take for the Arabs to become christianized, and for the Jihad to end?