Generall all Republicans/Democrats are in the upper right quadrant of the political compass (moderately fiscally conservative and moderately authoritarian).Er, no, it's a hard-right party and a moderate-right party. The only time I hear reasonably centrist politics from Americans is when I talk to actual people on the street (and it very much depends on which street I'm visiting and if they know I'm Canadian or not).
From the perspective of an outsider, it's the assumption that the Democratic Party has much to do with "left wing" politics that is faulty. Seriously, it's joked up in Canada that the US has no left-wing - just a hard right-wing party and a moderate centrist party. You can probably figure out which party is which.
NOW WITH PRIMARIES
I would personally prefer someone on the far right in the purple, which is nobody afaik.