To reduce the difference between China's political situation and the US's to be the difference between 2 parties and 1 is not accurate.
The American Supreme Court can basically make up interpretations on essentially whatever, and it has and will so long as the Democratic and Republican party agree on it.
China also has local CCP organizations, and they have a significant level of influence on the national party (and vice-versa), but ultimately just like in the US the DNC and RNC chair can basically make up whatever arcane rules for nomination and get an agreeable candidate.
In effect, these are checks and balances between two parties.
The desire to reach consensus is yet again a mechanism of partisan conflict resolution. Impeachment of justices is a partisan political process. The lower courts are also at the mercy of either of the two parties.
Ultimately, there is literally no process in the entirety of the USA to legally prevent something that both parties durably agree on.
Trump recently was opposed in political processes by his own Vice President and Supreme Court nominees, as well as some members of Congress.
Within the Democratic party, there are also examples of these checks happening within the party. DeBlasio (mayor of NY) and Cuomo (governor of the state of NY) have been fighting against each other for years.
More generally though, not everything in the US is a political decision. There are other practical checks on the political process itself, like the freedom of speech Many Americans either don't like either party, or at least don't like the leadership if either party right now. We don't have songs like "Without the Communist Party, There Would Be No New China" (https://en.m.wikipedia.org/wiki/Without_the_Communist_Party,...). While unlikely, in the US parties can go, and have gone, extinct through the normal political process. And every four years (depending on who wins the Presidential election) there are opinion pieces considering one party or the other's demise. If people disappear for comparing the CCP's leader to Winnie the Pooh, I can't imagine it's very safe to write about the CCP's demise within China.
In US? Same as everywhere. Network of people who make the laws and people who amass capital thanks to those laws.
It wasn't meant as whataboutism or as a critique of US. It was meant as praise of US and potential direction China should evolve towards to protect their rulers with less fragility.
If this post is meant as a whataboutist critique of US democracy then this line gives it away as over the top conspiracy theory. Who exactly is controlling everything of value in this theory?