I'm a big fan of John Carpenter, but to be honest I think the Nazi's have a point on this one. The movie may not be intended as such, but it honestly is compatible with how anti-semites and Trump supporters more broadly see the world. The movie does present a story where all of our problems are caused by a plot of evil foreigners who control every aspect of the government, business, media etc and took our world away from us, and can only be defeated by armed insurrection. Death of the author, it's not what Carpenter meant, but I can see why they like this movie.
Personally I'd like to see a remake/sequel that updates it by having the aliens take over by playing the role of the trump-a-like demagogue, trick idiots into thinking the government is controlled by aliens when it's not, then get voted into power so they can cripple earth's defenses and take over.