I don't believe Christianity will prevail over Islam until the return of Christ.
Not so sure about that! Remember who we represent - the King of Kings and the Lord of Lords. He has overcome the world. Also, if Christ has ordered us to make disciples of all nations, we have to believe that He is here to help us do just that.
I don't claim to have any inside information or special insights, and tend to pessimism as I have watched social changes take such a downward turn the last 30, 40, or so years, but I thought at some point someone (as yet to be identified) will make war with the saints and overcome them. That does not mean to become passive though or that none will be left.
Your positive outlook is a good thing. True, disciples have not been made of some nations. The Muslims seem to be extremely resistant to conversion.
I try not to feed into end-time hype too much, but I do read the scriptures, don't claim to understand what much of them really mean other than a general outline for Christian living, morals, and the promise of a resurrection of the body when Christ returns.
Michael Reagan doesn't think much of what Pat Robertson said. I heard it just now.