You ought to know that there's a strong movement with many doctors now to refuse to accept patients in their practice that refuse to vaccinate and/or refuse to vaccinate within the AAP's adjusted schedule. It's for the safety of the rest of the patients in the practice, especially those who are immuno-compromised and haven't received the vaccines yet because they're not old enough or because they can't due to an allergy (such as an egg allergy or other known sensitivity).
As others have suggested, you should be certain that your area isn't having an outbreak of measles, mumps, or rubella. They're all very serious diseases and there are outbreaks that are severely injuring unvaccinated children all over the country including babies that aren't old enough for the MMR yet. Herd immunity is decreasing because of this small yet persistent movement to not vaccinate and not vaccinate on schedule.
EDIT: I just want to add really quickly that I can back this up with fact. This is something I've researched personally and known about for years, but it was actually a segment on The Today Show this past week so you can go on their web site and look up that segment.