I think that with time we will have great changes in the banking system and I am sure that btc will be the leader. perhaps, it will be connected to banks but i don't know for sure whether this may happen
It may happen, but the connection of the two is not really good for bitcoin. I say so because the bitcoin will loss its characteristics being individual without the intervention of outside factors. But then it might have a positive effect on the bitcoin's market. We just need to wait for what will going to happen.