Where is this utopia to be found? At present, homeschooling is about 2% at most of the school-age population. Even with widespread awareness and more lenient state laws (compared to 20 years ago), the numbers are still comparatively small - mostly because homeschooling requires one parent to stay home.
There will still be a need for schools, because there are homeschoolers who do transition to school. One support group I belonged to for awhile had virtually no homeschoolers over 6th or 7th grade - they almost all went to middle school (or more rarely, high school) after being homeschooled as younger kids.
Yes --- there would still be a need for schools. Cooperatives, private schools and if the community decides --- public schools. Public schools were local government controlled and funded. Many neighborhoods would want a good public school because it tends to increase home values. You could purchase your home in an area with no schools and save the tax money but you could decide to live where the schools are good but you'd have to pay.