"We have Three existing gliders (1 female and two intact males), and all three of our existing gliders lunge, grab, and fight with her as soon as they see her. "
Personally, I wouldn't ever try to put a rescue/rehomed female with any intact males let alone 2 intact males and a female. Sorry There really is no nice way to say that.
The combination of 2 intact males and 2 females is a disaster waiting to happen, and not just with the introduction but with the breeding as well.
If it were me, I'd pull the female that is currently with the boys and try introducing her to the newer female and get the boys neutered.
Once neutered, AFTER the hormones reduce ( in about a month) try introducing the girls to the boys if you still want one colony/one cage.
But if you don't neuter the boys I wouldn't try another intro at all and just be content with a boy cage and a female cage, even then the boys may start to fight with each other requiring one or both to get neutered.