Lior: By making it clear to the community and to the parents that paying for the school and their tuition is a priority over other Tzedakos. The money is there, just currently it goes to Lakewood, Benei Brak and Adopt a Kollel, as well as supporting sons-in-law in various Kollels (and I won’t even start with Seminary!).
In fact, many non east coast areas already have community schools in place, because the Gevirim in those areas know the school is their responsibility. If it were a priority, the same thing could be implemented in east coast areas.