A-Bob once posted an Atlasian primary timeline in here as I recall. Also, there once was something called Americana where each participant made a political character that would get into shenanigans while running for office.
A-Bob's thing was an Atlasia primary battle. That was back when the RPP and the... JCP(?) dominated, but it was sorted into just "Rightist" and "Leftist" primaries.
And as for the other thing, Kalwejt had a Democratic Alabama Senator named Jefferson Dent, I had a Michigan Governor named Christian Mattingly, etc.
Finally, historical/political roleplay has been done here. A few months ago there was a 2016 election roleplay thing going on on this board. I don't know if I"d participate. I'm busy and just started a new project (like an idiot), so yeah.
