In that case then it does work good. However keep in mind that not all non political characters will be "Action oriented" though the majority will. I expect there to be a noticeable minority of characters who are neither adventure nor leaders. Though they will be placed in the Non political story. Ofcourse there will be moments in which the stories will be merged briefly, though that would be rare.
While I like the idea, I can see it being confusing for others. I suggest it would be a vote between the Game masters and have the other players opinion on this?
instead of having sperate groups you could just simply state what your doing at the time since i reckon people will be switching though out, my chr jak might be talking political at the start but when he goes exploring for ebony it will be action.
for example
Jak lupus - Battlling with Nords - Mountian top- Morning (action based)
Jak lupus - diccusing trade routes - harbour master office - Morning (poliitcal)