Yeah, the noise on the ship looks distracting. Main problem for me is not the grainy look, but the fact that the grain doesn't change. It just floats on top of the screen. But you can very easily change that. As it seems you're using Cycles, check the Render settings, under "Sampling", click the clock on the seed setting. Now the grain should change from frame to frame instead of being "stuck", which even might give it a more analogue feel. That being said, the grainyness on the ships should be reduced nonetheless. It seems to be a problem with the light sources and the reflections, as you have pointed out.