As a Las Vegas resident who's political active I am being 100% sincere when I say that the Review Journal is a hated among democrats. Even people who aren't really political active know that the paper is hard right conservative. We're talking Republican Revolution I wish 3/4 of the government were gone type of conservatives.
I am not from Vegas, but here in Tampa we have a very similar newspaper dynamic, with two major newspapers, one right-wing, one liberal. I doubt there is a single politically somewhat involved person who does NOT know that the St. Petersburg Times tilts strongly to the left, and the Tampa Tribune tilts strongly to the right. I assume the same is true for most Las Vegas residents in regards to the political tilt of the LV Journal vs. the LV Sun.