Its a SCHOOL team, just like a student can't attend a private school and play sports for their public high school, they shouldn't be able to show up for baseball practice after sitting at home all day.
Hate to break this to you, but plenty of kids who attend private schools
DO play sports for their public high school. Private school parents pay their taxes, too, y'know. In the Quad Cities area, there are kids from different
states playing for public school teams (because the Illinois kids are attending a private Iowan school that has an agreement with the school district there, I assume). Which is admittedly unusual, but I guess Iowans are just a little out there.
What I see a lot of is this... Kid doesn't mix well at school, rather than work on improving that, kids are homeschooled so the awkward social expierence can be avoided..
Sounds to me like you're dealing mostly with people who homeschool because they feel they "have" to. That can be a very different population from homeschoolers who chose that route long before the kid went to school.
basically the only time where I come in contact with homeschool kids, seems like most of those kids are socially awkward to the point that I feel bad for them..
In terms of his social skills, all the way through (he's nearly 18), my eldest son has been
exactly like my (public schooled) brother at the same age. It's clear that neither one of them has the average aptitude for social interaction, but both of them manage to function in church, office, and other environments just fine. Sending my brother to public school didn't change his native abilities in that department.
I don't want our 4th grade daughter to be reading at the 9th grade level
I don't know any homeschoolers who want that, either, however I've known kids who developed that skill level just because the
child wanted it. I was way above grade level in reading myself, even though I went to public school without anything like the "gifted" programs that are all over the place now, so no one was pushing it on me. I liked to read, so I got good at it. Why is that worse than someone who practices to the point they can do killer hook shots?
Personally, all I expect of my kids is that they grow up to be self-supporting financially and kind to others, and I expect them to find their vocation by following their own interests. I'd sure like it if somebody got married and gave me grandkids someday, but if they don't, they don't.
If one of the kids had wanted to get involved in team sports or band or needed something from public schools in order to accomplish their goals, then we would have made the effort to get that for them. I know homeschoolers who sent their entirely homeschooled child to public school at sixteen, because she wanted to get involved in band. It was the only way at that time to get her the course she wanted, so that's what she did.
Again, whether they send the kid to homeschool or public school, caring parents want to do what's right for the kid. One of my kids wanted to go to public school once, and when I asked him why, it was because he wanted "recess" -- the opportunity to run around in a playground with other kids. He wasn't that interested in the rest of the public school experience, and when he asked around it turns out our local school system has eliminated recess much past kindergarten anyhow
, so we tracked him down a homeschool gym class and he got his regular "free play time with the same group of kids" fix.
... My child would never get the same education at ps as she is getting at home. There is no comparison! That is what I focus on the EDUCATION. (She already has friends, hs and non-hs.) She is in the 4th grade and on a 7th grade math/english level and 9th grade reading level. Why would I hold her back??? So she can see the same 35 kids everyday. No, thanks I will pass. 
kidding,but your personal experience is not everyone's personal experience.... IMHO, the ps'ed kids I'm meeting at DS's summer camp program are just as awkward and grimy as the hs'ed kids we come into contact with...
I've seen good and bad in both populations to tell you the truth.... going to school does NOT dictate socially acceptable young people.
That isn't something to argue,it's the proven truth.
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