Nope. You should read history. Originally, then-President Harry Truman had declared a military nonintervention policy for Taiwan, effectively signaling that should the newly-formed People’s Republic of China launch a full-scale invasion, the United States would not interfere. The US at the time didn't have much enmity with the newly formed PRC or Mao, in fact many US military officials knew Mao since they had regular contacts during their training of Chinese(both KMT and CCP) forces against the Japanese during WWII.
That policy all changed with the advent of the Korean War, which brought the U.S. and the PRC into conflict. Truman deployed the U.S. Seventh Fleet to the Taiwan Straits to signal new U.S. opposition to a PRC military strike against the island.
But with the Korean War ending, there was some uncertainty over what would become of the U.S. commitment to Taiwan. Eisenhower lifted the U.S. naval blockade of the straits in 1953(by the end of the Korean war). Both the Nationalists and the PRC took advantage of the opportunity to restart hostilities. In particular, the PRC began to bomb the outlying islands of Kinmen and Matsu, where Nationalist troops were massing, sparking what came to be known as the First Taiwan Strait Crisis.
In response, the U.S. under Eisenhower(NOTE THAT he is still loved by Taiwan even today since they consider him the one who saved them from PRC) made clear for the first time that the United States was formally committed to defending Taiwan from armed attack. The Mutual DefenCe Treaty between the United States of America and the Republic of China was signed in 1954, with both sides pledging to aid each other in the case of a military attack and that was later adopted by U.S senate.
https://history.state.gov/milestones/1953-1960/taiwan-strait-crises
So as you can see, Mao lost the opportunity to invade Taiwan earlier by choosing to aid the Kim dynasty first. It's a known fact that many people agree with. However some think it was a mistake by Mao, some think it was not. Personally I think it was a big blunder by Mao. But it depends on how we all see things.