I think in terms of starting a war, the time for that has passed. Banks now have an opportunity to align themselves with Bitcoin and begin using it in order to provide good returns for both bitcoin users along with the clients of the bank. Its a war that I cannot see them winning.
If they dont begin to act in their clients best interests they will ultimately begin to loose their speculative investors for alternative wealth management companies etc.
You have nicely summed up today's scenario of relationship between banks and bitcoin. Earlier it was a common believe that banks are wary of Bitcoin and would stand against it. But the trend is showing something opposite. Recently two of the giant bankers of the Wall Street has shown interest in Bitcoin. In other parts of the world, like Japan and Switzerland, banks are inheriting Bitcoin in their system and have started providing various services for the same. Many countries are involved in making their own cryptocurrencies and are not in any process of banning Bitcoin. Banks today can't ignore Bitcoin when it is growing largely in financial landscape. In most countries banks and Bitcoin will work together.