"Sadly, the difficulty is that Islam itself is the source of these problems."
True enough. But the muslim people can be converted.
Just shoot these 'rabid-dog' SOB's. Quit pussy-footing around.
No offense, but how many historically have ever been converted? 1 in 50,000, at best? And only if they're in a Christian country? One of the tenets of their faith is if you leave Islam, you can be executed. Sort of hard to leave under those rules, huh? Sounds more like the Mafia, Nazi Germany or Stalinist Russia to me, don't you think? The Christians that exist in Muslim dominated countries are ones that remained from the original Christian families that were overrun and subjugated centuries before, not new conversions. Hence, the concept of sending missionaries into Muslim countries for anything but medical or social aid is practically a death sentence for them, especially in times of trouble. Hell, it is a crime to bring a Bible into Saudi Arabia, there are no other religions or their buildings (churches, synagogues, temples) allowed on Arab soil, and if you attempt to preach to Muslims there you can be deported (good), jailed (bad) or executed (very bad) under their legal system.
They believe conversion from Islam is a massive step down, a total error, committing yourself to catastrophe and shame, a complete no-no, and just to make sure, they'll kill you for doing it. End of story.