Which raises an interesting question - has anyone appeared in both Doctor Who and Star Trek?
Noel Clark. Mickey from DW and is in the new Star Trek movie.
Daphne Ashbrook who was in the 1996 TV Movie, was in a DS9 episode.
Scroll to the bottom of the page, and it lists every actor who have been in both DW and Trek.
Also, not added to that site.
Alexander Siddig, Nana Visitor, David Warner, Daphne Ashbrook and Chase Masterson have all appeared in the Doctor Who audio adventures, done by Big Finish.