There has been something like that in Portland for a long time. I think technically it's a school for homeless and other high-risk kids. But a disproportionate share of them are teens from a nearby shelter for gay kids kicked out by their parents. Might be all part of the same thing? Not sure.
According to a story in Rolling Stone last fall (IDK if they named a source) the GW Bush era campaign to shift social services money to churches has the effect of forcing LGBT kids back out on the street, since they aren't welcome in ordinary "shelters" that have become little taxpayer-funded bible camps.
So, anyway there seems to be a need, even if it might not be the best possible solution.