As a chiropractor, I will tell you that a chiro won't, unless some states have laws I'm not familiar with, do medical checkups. They won't have "WBVs" in the way you're thinking of.
A chiro is in charge of chiropractic health concerns, not overall health concerns.
And it's true, many/most chiros don't believe in vaxes, b/c a true chiropractor is interested in increasing the communication between the body and central nervous system so that the body can help itself more perfectly. Most chiros don't see a problem with illness, and try to not interfere with the body's means of healing itself. Since vaxes interfere with the body's normal responses, it makes no sense for a chiro to believe in vaxes.
In fact it was during chiropractic school that I learned how bad vaccines are (not in a class...in fact our microbiology teacher never gave up a chance to talk UP vaccines...but in more general conversation outside of classes)!
If you suddenly had an ER visit and gave a chiropractor as the primary care provider, IMO (as a chiro), that would put up bigger red flags than having NO primary care provider! One of my classmates in chiro school did that while growing up (or rather her dad did), but we all thought it was strange. None of us had ANY interest in being considered a primary care physician!
Now, if a patient (practice member) chooses on their own to only use chiro and not have an MD or ND, that's fine (most chiros do that in my experience), but don't put it on the chiro.
People wanting me to *officially* be their ONLY doctor are one of the many reasons I gave up my practice. I couldn't handle the pressure of saying "you are chiropractically fine today" and having my practice members hear "you are FINE".