Any public school that bans the BSA from using it's facilities will fall afoul of the Equal Access Act and the No Child Left Behind Act, unless that school bans ALL after-school organizations from meeting there.
The link you gave is just a bunch of links on www.bsa-discrimination.org. There is no information on that page regarding any banning of BSA units from public schools, public halls, or military facilities.
FYI: the settlement that the DoD reached with the ACLU bans military units from sponsoring BSA units. This is in accordance with the DoD's own policies, which some military units were ignoring, that military units were forbidden from sponsoring non-military organizations. However, there is no ban that prevents any BSA unit from using facilities on military bases, and units still do use such facilities.
You really should do some research before posting assertions such as those you've made. So far you've not given any evidence backing them up, and they are all incorrect.