Repeat after me: Separating username and password fields on separate (fucking responsive) page WILL NOT INCREASE A FUCKING SECURITY IN ANY WAY! IT WILL JUST MAKE THE PASSWORD MANAGERS TO WORK WORSE AND THUS IT WILL FUCKING DECREASE THE SECURITY!!!
I agree @ondrej. I have problems with the behavior of these sites specially after misspelling my password. One of my homebanking sites go back to username field, one not. So I write my password in the username field! My fault I suppose...