The logic of 'No of course you can't join us - we're organizing to fight you!' is a good way to create a self fulfilling prophecy. Beyond that, one of the big practical reasons NATO exists is to stop its members from fighting against each other. Europe had centuries of never-ending and ever deadlier warfare eventually culminating in WW2. NATO largely stopped that by putting them under a common umbrella. Of course a practical reality is that history has shown alliances need an external enemy, or they start to turn on themselves. If the US had foreseen had powerful China would be today, I expect Russia would have been 'enlisted' into NATO.

And I don't think Russia is broadly hostile to the world. They cofounded BRICS which comprises near to a majority of the world's population, and also a greater share of the world's economy than e.g. the G7. Rather the "problem", and one that applies to China too, is that they will never behave in a submissive fashion to the US. They want a multipolar world, whereas the political establishment in the US still dreams of a hegemonic world order, akin to what we had after the USSR collapsed. This inevitably sets the stage for geopolitical conflict, and as the saying goes - when two elephants fight it is the grass that suffers.