Sure, i understand that without God we can't do anything Good. But the God i know wants to save everyone, Loves the whole world. So if Salvation is all in Gods hands, completely Gods choice, and nothing to do with us than God would save everyone. If it is all in our hands we would all fail to save ourselves because we have all sinned and fallen short of the glory of God.
Rev 3:20 Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me.
Rev 3:21 To him that overcometh will I grant to sit with me in my throne, even as I also overcame, and am set down with my Father in his throne.
If i can't chose to reject God than it wouldn't be a free choice. It's a choice i have to make, to hear His voice and allow Him in or reject Him.