> capsule (?) for humans riding to the ISS looks reminiscent of the 1960s too

Dragon 2 [1] looks like the Apollo and Gemini craft for the same reason it resembles Soyuz 3 [2]. Crewed disposable atmospheric reëntry vehicles launched in cylinders and soft landed or splashed down under parachutes are going to look similar.

[1] https://upload.wikimedia.org/wikipedia/commons/4/4e/Iss071e0...

[2] http://www.spacepatches.nl/soyuz/soyuz3.html