The Star Trek Universe would actually make it.
Why?
Battlestars: No shields. Cannonfodder for Klingons.
B-5: Also no shields. The Borg would try to assimilate the Vorlons and the Shadows and would get screwed again, the federation in every situation would stomp on the first directive until noone is left anymore but one of the B-5 - factions or something and only then they would intervean

Dr. Who? Xenophobic guy who is obsessed of saving Earth while Vulcans, Boleans and all other fed-members already live on it will probably go into arrest for attacking some of them.
Star Wars? Didn't Worf once pointificate LASERS are not even a threat to the shields?

They would just ignore the X-wings, Ties and other things trying to attack them. "Oh look, it's the Enterprise. Surrounded by hundreds of Ties again, man I feel sorry for Picard's nerves..."