Republicans would like a lot of China. Little to no regulation in many industries. Strong property rights (compare China's rental/ownership polices to San Francisco). Generally a conservative population (not woke). Economy is very capitalistic with companies extremely competitive with each other, which allows them to eventually export their products and services such as TikTok.
Countervailing things, from my understanding: Minimal religious freedom (among dozens of other issues, religions are literally supposed to allow the government to vet their leadership). Unpredictable legal environment and potentially arbitrary requirements on companies if they work with culture/mass media/mass communications.
Oh for sure, I didn't say that republicans would like all of China. To be fair, if republicans could, I'd bet that they want to ban a lot of religions such as Islam in the US.