Partisanship didn't increase in a vacuum. The parties lined up more closely with longstanding ideological and cultural divides. There are fewer Southern conservative Democrats, but that's because they became Southern conservative Republicans. Liberal Northern Republicans became liberal Northern Democrats.
It's not clear to me how this proposal would change that fact. And it could very well do the opposite. If 51/49 super-districts are always electing one Republican and one Democrat, what incentive does either representative have to play to the center?