I've never said there was a third team Gregor. In fact, I've started this thread to argue the idea that there is only one party with two factions.
There are two factions. You can label them with the same banana sticker banana sticker if you want, they're all lying sacks of sh*t, but there are two factions. When you walk into the House of Representatives or the Senate and walk down the center aisle on your right will be the Republicans. On your left will be the Democrats.
The left–right political spectrum is a system of classifying political positions, ideologies and parties, from equality on the left to social hierarchy on the right. Left-wing politics and right-wing politics are often presented as opposed, although a particular individual or group may take a left-wing stance on one matter and a right-wing stance on another; and some stances may overlap and be considered either left- or right-wing depending on the ideology. In France, where the terms originated, the Left has been called "the party of movement" and the Right "the party of order". The intermediate stance is called centrism and a person with such a position is a moderate or centrist.
I see your point that we have two "Parties of Order", but the Democratic Party is still the "Party of Movement" towards equality. I'm just thinking that the farther left on the spectrum you are then the faster you want to movement to be.