I have two perfectly-aligned tracks, which came from two microphones in the same room, each having a person speaking in front of it. The problem is that the high frequencies of their audio have bled into each other and this tends to give it kind of a reverb effect where the room sounds more resonant than it actually is. If I only play one track at a time, the person who was at that mic sounds great.
The mics were plugged into the same mixer and have good alignment, but phase inversion has negligible effect (I suspect this is because the two tracks were recorded on different microphone models - this is a hand-me-down production).
I think the basic effect I'd like achieve is to always gate exactly one track at all times, but continually switch which track it's on so that it's always applying to whichever track was originally quieter. There are portions where the two tracks are fighting for dominance and if it bleeds during those portions then that's okay.