Also something else worth keeping in mind, if you want a team identical to the one you have, simply copy the character set and then paste it, then rename to whatever you want and replace whatever toon you need to drop into that team.
I do this a lot when I want variations of my 13 80s.
As was stated you can then reload these character sets at the character selection screen and all should work fine.

Something else that was mentioned before was that you can also create slots without toon names, and in that way it might also make it faster to swap toons, everything would be slot dependent.

LAX? Is this possible by editing the ISBoxer file directly?