I don't think that's particularly fair. We all pay into the basic social programs. I don't have children but I'm still paying into the public system and I don't believe I'm being unfairly taxed. To be able to afford to pay into the private school is a luxury.
That is always the struggle, isn't it? You're granted a certain level of education/health care/security/fire services/road maintenance via taxes, but in order to get services in addition to that you need to spend your own money.
