Christians, how are you different from Muslims who refuse to back down from their faith in the Quran?

Another's religion is as true to him as your religion is to you. You say Muslims don't deserve to go to heaven because they are stubborn and wont convert to christianity. But the same could be said of Christians. You have faith (no fact), and likewise, they have faith (no fact). So if you say Muslims don't deserve heaven, then so do you not deserve heaven either.