If you played all modes of a certain note in one position you'll end up with a chromatic scale.
You should memorize keys , learn the cycle of fifth & the cycle of fourth by memorizing the accidentals in each one.

Now wait a minute , which ionian scale do you mean CAN start on open E string ? If you mean C ionian , I'm afraid you need to start learning what's meant by modes all over again.

BTW, D Dorian is C major not D major.