Your 1st and 4th question covered by my longer rely to DB9T and Mogga. No, I think that you are wrong. No case has been made to worship God other than that is what the holy books tell you to do. No objective reasoning is provided.
Hatred between and within religion owing to misunderstanding, deviation No misunderstanding involved. People are just following instructions from the holy books. You can't be right because the killing is too widespread to be attributed to just misunderstanding. How else do you account for over 10,000 murders per year in the name of religion?
Search will show small/big sins in Islam, God forgive all except one, providing you ask for forgiveness and change your ways, if no change then repentance not accepted. Which one is that? Expressing an opinion? Changing your religion?
But it's like an earthquake, the trembling still carries on for a while after the earthquake stops - some sinning ways take longer to correct than others to be able to live by God's laws. Which ones are those? The sin of disagreeing with you?