Bank Update Idea

Have a setting in the hub before you join a world or when your selecting which profile were you can disable Multi-Bank access. If you have this enable you can access banks of other profiles. This could have it's own small GUI of which bank of which profile.

 

Or you could just dedicate one or two pages to one class specifically, assuming that's what you mean with profile. No need for some (probably) very hard coding.
Also, why would you want to keep items to one class only? Having better or different gear than your earlier playthrough is a surprisingly big part of replayability.
Btw, if you're serious about this suggestion, maybe try to show some possible GUIs, commands, in-game explanation or actual reasoning to expand and explain your suggestion. Just saying 'hey uh what about this' won't help anyone, even if everyone really wanted this change.