We do accept the GRE at Regis, however it is generally for students who are looking to go into PA or other programs that require the GRE for their admissions. We prefer to see the scores for your intended goal program, so the MCAT for pre-meds as it helps us to predict your success, but we do make exceptions.
Honestly, though I see MCAT scores go up quite a bit for those who take it again after our MS degree, so it isn't always such a bad thing to take the GRE for our entry and then wait until after you've completed that coursework to go for the MCAT.
Edited to add that competitive GRE scores need to be above 50% for us, but, that can vary depending on the rest of the applicant's story. If the GPA is lower, we like to see a high GRE to indicate untapped academic potential. Q scores are more important than V.