Unless you're not aware, it already started. On a slow phase, eventually they will scale it up and integrate with bitcoin then that "big reset" will happen.
Yes, they are still 'fighting' Bitcoin. When they start scrambling to adopt Bitcoin, we will know that the reset is about to happen. Citi has made a start with citicoin.
Obviously they are fighting bitcoin because they know that bitcoin is more efficient and helpful way of method than banking and they are scared that it might kick them out of business so they are clearly questioning and fighting it.