The Scientologists would leap at the chance to be publicly funded.
I imagine most all religious schools would love to be publicly funded; however, if the Supreme Court were to stick with the establishment clause as it was intended by the Framers - I suspect none of them would receive such funding. However, the public facilities which are available to public schools would also be available to religious schools IMHO, i.e. neutral to religion, neither establishing one nor interferring with any.
As I recall, religious students who need extra assistance from publicly funded specialists have to walk outside of the religious building (despite the weather) to meet the instructor on "non-religious" ground. If the judiciary wasn't so obsessed with protecting the public from religion, the instructors could go inside the building to give the religious students the special help they need.
Anyway, that's my two cents...