LOL buddy, you try to prove PRC govt did rightful thing but it's very reluctant.
You came to conflict with Soviet at highest point in 1969, and you can't match with Soviet, you had no nuke, so it's understanding when you want to shake hand with US. And after time, you came to it in 1972.
US 're not stupid, they saw the chance to used PRC as rival at right beside Soviet.
So when the Soviet threaten to nuke China, but US will never allow that, and they say to Soviet back off. ( Remember, Nuclear weapon just can used for deterrent, no one will use it if that's not last card can play... ).
Yes, your logic is awesome, PRC don't care about US, so why PRC need to shake hand them !?
You don't care about US, so why did PRC back off in 1996, when USA send her carrier to near Taiwan strait !?
You don't care about US, why did PRC don't take Taiwan and let her exist from 1949 until now !?
When khrushchev was in charge , China and Soviet Union already were antagonistic to each other.
The reason was we do not be the sidekick of Soviet Union , we did not allow Soviet Union to build a military base in China.
And we won the fight in 1969 , we of course could not match Soviet Union at that time even now , but that does not mean we are afraid of Soviet union . If we did afraid of Soviet Union , we would allow Soviet Union to have a base in China just like what you guys did.
China and US talked to each other at 1972 because we needed each other, Soviet Union was more offensive at 1970s, Soviet Union even bullied member of Warsaw treaty Org.
And China was big Nuke military power , we have the qualification to do that.
To sum up , we breaked with Soviet Union at 1958~1959 when we still did not have Nuke weapon .From 1958~1972 , both Soviet and US were hostile to china
That means we did not scare of Soviet Union and USA although they are much more powerful than us.
If this still can not convince you , just go to hell and ask khrushchev why Soviet Union can not have a base in China.
About 1996 , TW tried to be independent , we threaten to use military power , those clowns stopped the farce.That was the result .
We do not take back TW now because we are still not powerful enough . Once we did , we will take it back .Just like what we are doing in SCS.