You can't peg Albuquerque as one or the other. It varies from 'hood to 'hood.
<<WARNING: GROSS GENERALIZATIONS AHEAD>>
Many newer communities and sprawl areas (west side/Rio Rancho/Far NE Heights) are taking in newcomers from more conservative parts of the country which is skewing the city (and the congressional district) to the right.
More established areas tend to be Democrat and there are large swaths of extreme (and I mean barefooted drum beating anti-everything marching vegan animal rights) liberalism in the SE part of town near UNM and Nob Hill. Although I find those people kind of silly, I much prefer them to the other side (Gas-guzzling SUV W'04 I'll use all the H2O I want on my Kentucky bluegrass perfection hey, the military industrial complex is why you can afford to protest barefooted 'n beaded If you don't love America go back to communist Russia ya longhair) of Albuquerque.
I have yet to find a middle ground
ABQConvict