Shev, you choose not use the free education system. Its not the fault of the government if you want private education, that’s your fault.
But, there are avenues that will laregly be unattractive to RW/Charedi society, such as the Shalom Academy that’s starting up for Teaneck and Englewood students. They had a lottery and are oversubscribed for every grade except 5th (its K-5). There is a wait list. But its a coed school. It won’t be 100% Jewish nor 100% observant. Its a hebrew school, no religion taught. Talmud Torah will be in the afternoon.
Private education costs money. The government is not going to discriminate against your neighbors by requiring them to go to a different school. And are you willing to have the curriculum?
You have to decide how much you are willing to sacrifice – money? curriculum? time? Its not easy.
But, it does give parents a very good option