The battle in our legislative and judicial systems is over whether we should fund them. So allowing people freedom of choice to go to a private school instead of a public school by supporting their choice with tax money, has generally been interpreted by the Judiciary and the Congress to be a violation of the Constitution. And many support this idea because removing funding and people from public schools could lead to the deterioration and collapse of the public school system, and could lead to segregation. I think that there is another clear side to this issue. By forcing people to go to public schools and not permitting them the freedom of choice to go to religious schools, the government is squarely involved in suppressing religious rights.
People can go to religious schools, but few can afford it without financial support.
There is also a much larger issue involved. What is happening, though, is that very small minorities are successfully restricting others from the display of their religion in public places. The courts, rather than let all religions display in public, have ruled to restrict all religion's rights. In our push to assert individual rights, we are becoming a much less tolerant nation of people. This seems to fly in the face of the intent of our Constitution.