I know in my home town that kids had to be in so many classes to participate in school activities, I think that sucks because kids in school or not everyone pays taxes that provide schooling and school programs schould be availbe for those homeschooled...
In FL, the financing for the school system originatges in property taxes. If you live in the county, you're paying for the public school. If you are dissatisfied with the public system, you cannot take the money the state would spend on your child's education to send him/her to a better school or to home school them, that expense will come out of your own pocket. So, I don't know how it is here as far as sports activities, but, YES, it should be available for home schoolers, too.