Exactly. If you don't want homeschoolers to have authority to "dictate" what happens with gubmint school money, then don't make them pay taxes to fund it. Pure, plain and simple.
Frankly, it's quite amusing that gubmit school teachers are suspicious of homeschoolers having some authority over gubmint schools, but believe it's quite normal for them to have authority over the hsers. It's a fascinating perspective. And, quite telling of exactly what the gubmint schools are all about.