The bases were there to protect Germany against the Soviets.
I remember once on the autobahn around 1970, and a fighter came by hedgehopping at high speed. He was a few feet off the ground, and looked like just under Mach 1. The citizens didn't particularly like the noise and disruption, but they understood the need for the Air Force to train hard.
I also remember touring East Berlin (yes, East Berlin) in 1969. Going through Checkpoint Charlie and seeing the Wall is plenty convincing of the need for the US military being there.
France, on the other hand, didn't much care for the US military bases and wound up pushing them out.
BTW, the US Military was pretty thorough in making sure US personnel and military families behaved like guests in Germany, as they were invited guests. Ever since the Berlin Airlift, the US was friends with Germany.
The Americanization of Germany came later. I recall visiting a shopping mall in Germany in the 2000's, and you could not tell you were in Germany rather than in any suburb in America. Shopping malls did not exist there in 1970.