For since the creation of the world God's invisible qualities--his eternal power and divine nature--have been clearly seen, being understood from what has been made, so that people are without excuse.
21 For although they knew God, they neither glorified him as God nor gave thanks to him, but their thinking became futile and their foolish hearts were darkened.
God's invisible qualities makes everyone aware of him. How does total depravity enter into this? Did God blind these people who should have been aware of his existence? Everyone is aware of his existence.
Is the Hindu aware of God's existence by his invisible qualities?
Is this awareness different from knowing about Jesus? Did they ignore God so he has blinded them from Jesus?
Why would God make someone depraved or ignorant to his own salvation?
The blind can't see. God must deliver sight.
Is it possible for God to give this faith to people who have never heard of Jesus?
If every man in the whole world was made in the image of God, perhaps Adam took this image away and Jesus restored it.
Now somehow every man in the whole world's image has been restored. We can now become more like God.
We can become the Children of God and the brother of Jesus.
Election is better for world wide salvation compared to witnessing.
God can give people the faith they need to believe even if it's just a small measure.
The one true God that is.
I have to say your points are very interesting. I am not nearly as educated as you or others in the Bible. However, I will attempt to answer your question in my own simple way.
I have to believe as with anything that is touched by man it has been distorted. Therefore the Bible even though it is the inspired word of God was tainted and/or misinterpreted / incorrectly translated in some places. So I would have to believe that anyone that believes in God as a whole and decides to live a good life would be granted access to heaven. I know that may anger many who believe that accepting Jesus into your life is the only way to gain access to the afterlife. To Artfuldodger's point though I don't think it can be that cut and dry.
As I have said I'm sure others will dissent, but I just have a hard time believing that somebody on a far-flung place would not be granted access to heaven just because they hadn't heard the Christian version of God's word.