Banks will never allow it. Maybe they will evolve into crypto banks, but they will exists for sure
It doesn't matter if they will allow the existence of cryptocurrency or not but they can't do anything to harm it. They have done their worst and have seen that its impossible to ban it. For the Banks to join the race into digital currency will make the journey of Bitcoin move even faster than we think. Let them join the movement before its too late for them, for them creating their own coins will further create more eye openings to customers of their dubious act during the era of fiats.