I think not getting too enmeshed in their politics is still generally a good idea though I doubt that George Washington of all people would be unsympathetic towards people fighting for their own independence and liberty against a foreign power looking to strip them of those rights
When Washington was giving this speech, France, the key benefactor to the infant United States, was in the middle of a pretty nasty revolution and probably really wanted some repayment for their help. So the context here might also be relevant, the US was basically saying "Uhh...yeah, as a matter of principle we really shouldn't get involved with whatever crazy stuff Europe is up to!"
So I think the context matters a lot, and I agree if Washington were alive today (and somehow able to function with the grievous age-related illnesses he'd be suffering) he'd generally support the established transatlantic alliance.
Washington was aligned with the Federalists, who were roughly speaking pro-British and anti-French. The antifederalists took the opposite tack.
You can see what the anti-federalists thought of this generally; Paine’s open letter to Washington airing some of the grievances is an interesting read.
Since context is important the speech also references the Neutrality proclamation of 1793 (https://en.wikipedia.org/wiki/Proclamation_of_Neutrality). I would say the stuff on European policy needs to be viewed through the lens of the wars there at the time (which I think are these: https://en.wikipedia.org/wiki/War_of_the_First_Coalition)