Homeschool vs the School Board

More and more lately, cases are coming up in Virginia of homeschoolers wanting part-time access to public school classes or activities and also, situations where homeschoolers are involved, someone discovers a policy against it and then the homeschooler is booted. This happened in Virginia Beach recently where a girl was booted from a Latin class, but later allowed to return and in Isle of Wight County where a band star was booted when another unhappy parent brought up the no homeschooler policy--that is still pending. Sadly, the boy actually enrolled in school to be able to compete in the band's competition season but was so severly bullied he dis-enrolled shortly after.

I think many homeschoolers would like the public schools to be like public libraries or public parks--available to use when needed, without compulsion or extra oversight. But often the attitude of the public school bureaucracy is 'if we let one homeschooler in, they'll all want in and we will be swamped' or 'they chose to leave, let them tough it out on their own'.

I wonder would they be swamped if all the homeschoolers suddenly re-enrolled fulltime?
Couldn't they set a 'space available' policy forpart time enrollment by home (or private) schoolers?
Is the job of the public school to help educate all the children or just the ones they have fulltime influence over?

I am hoping that as more of these situations arise, more school boards will relax their policies and allow public school to be more like a public library or a community college, where all members of the community (who support these institutions with their tax dollars) can take advantage of educational opportunities as needed or desired. That would be morethanfine.