The UW vs. WSU rivalry used to be a decent analogue for local Washington politics (adjust maybe by saying that anywhere with 35%+ support for WSU would vote Republican). With Pullman trending to the left and the Pacific coast trending to the right, though, that probably won't last much longer, even if all the stereotypes about UW supporters being the same as stereotypes of Democrats and the stereotypes of WSU supporters being the same as stereotypes of Republicans will probably persist.
Intrastate college football rivalries are interesting measures, I love it!
- I imagine a somewhat similar pattern holds for Oregon and Oregon State as you mentioned? I've heard that phrased as "Hippies vs. Farmers" before. With that said, Oregon does dominate Oregon State, so you'd need a similar adjustment to what you had.
The contrast seems more relevant for Washington than Oregon. UW and WSU are on opposite ends of Washington state; UO and OSU are both in the Willamette Valley, west of the Cascades. I don't feel like the OSU people I know are significantly more GOP-leaning than the UO people... There are definitely more right-leaning individuals in that group, but I also know more OSU grads than UO grads in general. The people who I thought of as Republicans or GOP-leaning generally went to other schools like George Fox or BYU.
Re: football rivalry- UW has historically dominated the Apple Cup by a more overwhelming margin (74-32-6) than UO in the Oregon Civil War (66-47-10).