How the rules should change to avoid Faithfuls killing Faithfuls at the end

One thing that is deeply unsatisfying with the way the game plays out is that Faithfuls are incentivize to kill mindlessly to end the game with 2, so they can have a bigger pot.

But the game's overall dynamics are actually "team vs team" (and it's also how the original social game of Werewolf/Mafia is organized: you win a team)

I know i m not the only one who thinks that after the last Traitor is removed from the game - even if the Faithfuls don't exactly know whether this happened -, it feels really unfair to all the Faithfuls who made it this far to not get to win.

So I feel a way to fix this is to change the way the prize pot works: Yes, you make the pot bigger as a whole group (because that's fun and it makes everyone work collaboratively).

But the pot is allotable in halves: Half of it is for Faithfuls who arrive at the final, Half of it is for Traitors who arrive at the finals (so the final 6 in our Season 3). THEN, in the final round, each TEAM has a chance to make a go for the other team's pot.
As a team of faithful, your goal is to claim the Traitor half by getting rid of whatever remaining Traitor; As a team of Traitor (and possibly there's only 1 left), your goal is to claim the Faithful's pot.

You don't have an incentive as a team of faithfuls to wrong the people who made you win anymore; you also don't have an incentive as a Traitor to wrong your fellow Traitor. And in fact, this is where its better: You may have some useful strategizing of how to fake sacrifice (if 2 Traitors remain, they may decide that it's better to make a big to-do of revealing one of the last Traitors so the Faithful believe they got them all); You may also have something that would have been a lot better with the play of the Seer for Frankie: It would have worked to kill both Frankie and Charlotte, because it's not unfair to the Seer in this position -- the Seer still made it to the last round, so they are in the winning team if the Faithfuls pull through.

What do you think? Does it preserve enough drama that the production company could live with this?