I never saw FMA: Brotherhood as being political. Did I miss something?
FMA, in both its iterations, is far less concerned about "politics" than it is concerned about conveying the horrors of war. This necessarily means demonstrating the political circumstances that lead to such horrors... but you have to
consider, the dictator of Amestris is literally a human experiment that was already trained to be a super soldier and can cut tank rounds with a sword, and the reason they massacred Ishval was to make one of five mass human sacrifices for a nationwide transmutation circle to open a gate to allow the dictator's boss to eat God when the upcoming solar eclipse casts a circle on the planet.
It involves politics, but that's necessary when you want to convey
war horror. The most politically pertinent background event is the Ishvalan Civil War, which indirectly generated the terrorists responsible for wrecking Ed's hometown, and the infamous Ishvalan Massacre, which was the cause of Scar's crusade against State Alchemists. Those details are important because they had lasting effects
on the characters, not because Arakawa was particularly interested in talking politics.
At this point, I don't think the issue is shoehorning politics into media, the issue is
being good at it, and far too many people who try to do it
aren't.