I don't know how many times it has been explained to me, that redemption through Jesus was available to everyone. The main requirement to salvation was seeking a relationship with Jesus. Dallas/Ft Worth is full of churches that hand out tracts on this very point that end with the re-enforcing assertion that the most heinous killer, rapest, etc were still available to salvation if they genuinely accepted the redeeming power of Jesus before they died, even if happens as late as that walking to gallows so to speak, and then a list people who perform good works throughout their life, but believe some other doctrine, and they will certainly burn in hell. You don't have to be good, you just have to believe correctly.
Of course, I always thought..... now there is a doctrine for someone who wanted to do a lot of bad stuff and still feel they we going to heaven. Back to what you were saying, it seems to me that many, if not most, people who take their christianity seriously (and we have a ton of them around here, let me tall ya) would disagree with you. They would say that if Hitler accepted Jesus as his savior at the end of his life, heaven would be open to him.