Actually the Bitcoin wiki says bitcoin is compatible and will be used for and by modern banks.
Like it or not, it actually makes sense to use modern banks with bitcoin for the same reasons we use them with fiat. Lending is a huge and important part of the economy, and some users really don't want to worry about security. You can "be your own bank" with USD Cash but most let banks worry about keeping their money safe. This will almost assuredly continue.
I think it's going to be a good thing to do because quite a number of people just have stacks of btc in their wallet waiting for it to increase while we have several others that would need it to develop ideas but because the believe is that only few ICOs are real, we then tend to be more careful but with banks, we get to save ourselves from those troubles of vetting the business proposal which they would do before advancing credit faculties. But the issue now, is when will we be able to do that? Until the time when the integration is fully done, I guess we just need to still stick to our way of doing business.