First off nobody "deserves" Christ, I don't know where you got that idea from certainly not from the bible we are ALL sinners if we "deserved" Christ we wouldn't need him as a savior to begin with. Secondly Christians aren't required to take people in among them in order to "get them saved" until they are Christians they aren't a part of our group and we cannot treat them the same as fellow believers. We are to love them but we aren't required to take them to raise as neighbors hoping that kindness will convince them to be saved. The problem is that Islam has a more powerful grip upon its adherents than Christianity while Christians are bonded together by love it often takes a lot to get through to people who are bonded together by fear which affects those of Islam. Even in the states muslim refugees will be ostracized, castigated, even beaten and possibly killed perhaps for abandoning their faith. Essentially Islam itself is hostile to other religions by default. To take in a group that for the most part will keep their beliefs very few converting to another belief (Christianity) and that is the source of "wolves" is to say to fellow believers we must take wolves into our midst because it is unloving to do so, those who harbor wolves in their midst out of fear are IMO not to be trusted and their book is the source of wolves the only true way to be rid of wolves is to either be rid of the book or rid of those who believe in it so that the books power over creating wolves is no more.
One could think the Gospel is the cure for Islam when in fact it has been out there for thousands of years and Islam isn't cured. Sadly I believe that in order to truly "save" muslims they have to be totally removed from any source of it and TAUGHT, no.. indoctrinated AGAINST believing it such that any power that Islam has is negated. As long as the Koran exists and people found their belief on it wolves will arise from it, and violence will result. Education is a cure in part but sadly the US isn't going to "teach" the truth about Islam in schools they want to "teach" in a limited fashion the "romantic" parts of it instead. It is like having kids pet a tame tiger in a zoo and then letting them loose in the jungle with tigers that aren't tame and them not knowing the truth and thinking they won't be killed by one. With luck they won't cross paths with a bold tiger but sooner or later if more tigers are brought into the jungle their chances will increase.