First: when did I suggest that I agreed with the concept of property taxes for other people's children to get an education? 

Second: notwithstanding the above, you could argue that an educated populace is good for everyone.  For that reason, everyone contributes to education whether they have children or not.  Most "conservatives" do not object to paying taxes for things everyone benefits from. We all use the roads, police, fire, etc.  

It is one thing to contribute to education when everyone benefits from it.  It is another to have to take responsibility to feed, clothe and house other people's children.  How does that encourage the people to take responsibility for the choices they make?