I find the focus on NATO bizarre for two fold reasons.

First, it ignores the immediate backdrop to war in Donbass and the annexation of Crimea, namely Ukraine seeking closer connection with the EU, which didn't suit Putin, but which also distinctively isn't NATO. In fact in 2013 Russia warned that the treaty recognizing Ukrainian border would be invalidated by the signing of the European Union–Ukraine Association Agreement.

Secondly, before Russian aggression against Ukraine, European NATO allies had been making their armed forces smaller rather than larger and the US has focused on other areas in favor of Eastern Europe. It is difficult to read these as provocations. The increases in military build up have happened after Russian aggression.

I do think that Bush administration had a negative impact that has been reflected in Russia, but the Trump administration sought to warm the relationship, to no avail.