From what I can tell, China has a low rate of hate crimes against queer people in general, though the culture still has issues with enforcing conservative gender roles (as does basically everywhere else, this isn't a China-specific problem). For happiness, the data I could find generally pointed to the United States being happier, but I think that measuring such a thing is difficult and rife with systemic issues (Source). China has significantly better homeownership statistics than the United States, I agree with you on that. The United States and China seem to have a comparable number of doctors per capita, with the United States having significantly more nurses. Healthcare in the United States is significantly more expensive, though I think that's a somewhat unfair comparison as the United States is uniquely bad in this regard; there are other nations with similar political and economic systems to the United States with significantly better healthcare.

I think saying that Biden is failing is an overstatement. Biden has made very unethical decisions regarding Israel in recent times but has also been a very pro-labor president, his NLRB has been possibly one of the most pro-union iterations of the institution in its history. Biden's approval rating is poor, but that's typical of modern U.S. presidents. In terms of the general election Biden is polling fairly evenly with Trump, but this far out from the election that could change drastically, and Trump himself is drowning in legal issues that are drastically reducing his ability to campaign. I'm not sure how the 2024 election is going to go, but I think Biden has a decent chance.

A mixed economy is viable, in fact, it's probably the best type of economy. Most nations that are economically successful have mixed economies. My main problem is that China claims to be a socialist economy when it is not. China has private companies, which are owned by a private owning class. China has a stock market with major stock exchanges, and though its government exercises greater control over private interests it still has private interests. An economy that would at least be far closer to socialism would be one where private ownership of corporations was illegal, all corporations would either be employee-owned or state-owned and within employee-owned corporations, there would be regular elections to determine upper management and to make important decisions. There are other models of how to build a socialist economy, but none of them involve private ownership of economic structures. Beyond the non-socialism of the economy, I also believe that China is not a proper democracy. The only roles that are directly elected by the Chinese people are local legislators, who then vote for the legislators above them and so on. I am strongly against this form of democracy, as it leads to enough abstraction that by the time you reach the national legislator there is a strong chance the local people don't even know the people being elected. In my preferred model for a representative democracy, the voters vote for every level of the legislature.