We were talking about outreach to the Muslim world and you just changed the topic.
Who wants us to change our lifestyle?
Honestly, if anything much of the Muslim world seems to be westernizing - have you ever been to any of the prosperous Gulf states (UAE, Bahrain, Qatar, etc), Beirut, Jordan, etc? They are melting pots of the cultures and very tolerant/welcoming to most Western culture. I know that doesn't go for the whole Muslim world - but the whole Muslim world is not some sort of intolerant society that has a different lifestyle than we do. It's not the us 'us' vs 'them' you are portraying. Muslims can be Americans, and millions of Americans are Muslims. "They" are actually "us".
Next vacation you take, make a stop in one of the parts of the modern Muslim world, I think you will have a change of heart. There are problems, but it is enlightening to see how similar our two societies actually are.