People who have been fully vaccinated against a particular disease have nothing to fear from those who are not vaccinated.  Example:  I'm older, so I had and recovered from the measles.  I cannot get or give the measles to anyone, just like a person who is vaccinated for measles.  Those at risk for contracting measles are the unvacinnated who haven't had the measles.  In certain locales, the measles is spreading amongst those who haven't had the sickness or the vaccine.  There are two cases of measles, and one of mumps at my workplace, the sick all being unvaccinated children.  Parents of unvacinnated children, plus adult staff, either unvaccinated or never having had the diseases were offered and pushed to receive free vaccines or booster shots.  I turned down the offer because having survived measles and mumps confers lifelong immunity.  I'm at no risk of getting either, and it's nor possible for me to spread either.

This sounds like an undersupply of patients or an oversupply of doctors. Aren't you better off not having a doctor like that.
Regarding Chicken Pox, I used to work in a girl's boarding school where the boarders used to get chicken pox repeatedly. The nurse, one of the old school, just couldn't understand it because once you had it you weren't supposed to get it again. The majority (and maybe all) were vaccinated!

It is not the role of doctors to "monitor for abuse" or to police parents. But that could explain why you "need" "well checks".

People who have been fully vaccinated against a particular disease have nothing to fear from those who are not vaccinated.  

The medical community is out of control.  Period.  In my state of PA, parents are often charged with dental neglect because they don't have their kids teeth cleaned enough or because they ask for a second opinion.  I had a pediatrics office threaten me 8 years ago because I refused to take my infant in for "wellness" checks.  I simply told them, I had no reason to bring her in and I wouldn't.  She has never had a vaccine of any kind and hasn't been to the doctor once in over 8 years.  She eats well, has a healthy weight, gets plenty of exercise.  But I did shop around for a family practice physician who doesn't force vaccines on kids and doesn't insist on yearly health visits.  I take my children to the doctor only when necessary.  And I will continue to do so.  But a lot of people don't have this luxury or are afraid they will lose their children to foster care if they don't follow the "rules."  There was an Amish family near here that actually fled the country into Canada because they refused chemo therapy for their daughter.  They somehow managed to sneak her out of the hospital and in the dark of night crossed the border to an Amish community there.  They remained until their daughter was better, after treating her themselves with diet and natural remedies.  It's horrific how long and strong the arms of the Medical Industry are.  If you aren't planning on playing by their rules, be prepared to defend yourself.  I am fortunate to live in a state that threatens things like this, but really has a hard time proving neglect.  But some parents do end up in long legal battles over the issue.