Interesting thread. Why not just apply for grad school at your preferred college? Are you getting an education for political reasons? I doubt it. Your goal is the degree, and you are already attending a highly regarded college. Aim as high as you can and don’t focus on your perception of political leanings. There are plenty of conservatives at HYP.
Very surprised you thought USC would be moderate. It’s the embodiment of California. It’s famous for graduating pretty successful and well-known liberals. I don’t think Cal is the hippy hotbed it was in the 60s and 70s. Keep us posted on where you eventually end up, and good luck.