Can you provide the source for this, please?
> The US pushing for a military alliance with Ukraine is what initially set Putin on trying to take control of Ukraine.
Why do you think so? Can't there be another reason for invasion?
Sure[1]. If you google you will find the direct quote in this paragraph in many places.
> The present crisis has its roots in a long-brewing contest over Ukraine’s geopolitical alignment. After the Soviet Union collapsed, Ukraine became independent but for decades joined neither with Russia nor with the West. The United States, for its part, expanded its NATO alliance but initially sidestepped Ukraine. It recognized that Russia, sharing deep ties and a 1,426-mile land border with Ukraine, might oppose such a move by force. “Ukrainian entry into NATO is the brightest of all redlines for the Russian elite (not just Putin),” William J. Burns, then U.S. ambassador to Russia and current CIA director, cabled from Moscow in 2008. “I have yet to find anyone who views Ukraine in NATO as anything other than a direct challenge to Russian interests.”
1. https://www.washingtonpost.com/outlook/2021/12/23/ukraine-ta...
And I'd take William J Burns words with some grain of salt. It's likely "anyone" who he had to find were from some selected circle of rather like-minded persons.
Your link doesn't say anything close to that.