I think you think it is much more cold hearted than it is :>) *grin*..God could have sent everyone of us to hell,He does not have to save any of us..this is His world we are His creation.
God offers salvation to all, so in a real sense God does save sinners, but all one must do to be saved is to ask Jesus Christ into his/her heart. God desires that all be saved. It is not God who rejects a man, but it is man who rejects God.