Not really with the US anymore.
Anyway, I think you missed this reference: https://en.wikipedia.org/wiki/Non-Aligned_Movement
There are over 30 US military bases in EU member states, so I would classify that as alignment with the US.
Does it really count as non-aligned if the observer states are very much aligned?
There are over 30 US military bases in EU member states, so I would classify that as alignment with the US.