In my opinion, these two things absolutely can not be combined. Therefore, only one must win
Others have stated their opinion already regarding about this topic that is been on fire when people started wondering if this two could unite as one, but for me, this debate about banks vs. bitcoin should be stop because we are just gonna keep on clashing, there are people who's going for bitcoin and of course there are also people who would go for bank. Old people use banks, what I mean by old people are your parents or maybe your Government, they use it because banks have been there for them before bitcoin, you know there is a saying that "I was born like this and I will die like this" concept which is kind a one sided and narrow minded for me.
For them new inventions are scary, like bitcoins, no wonder why the majority are againts it, I mean they don't trust cryptocurrencies. People's mind feed from what the majority says, let's say if the Government told them that bitcoin is just a scam, they would believe it real quick, and that is what they are going believe forever.
In short, even banks and bitcoin could not be combined, they could still both exist without eliminating either of them.
