They look as alike as Quinto-Spock looks like Nimoy-Spock.
Which is to say, 'Not much.' I had no idea the haircuts were the same though. Probably a stylist looking for inspiration
It was just my inital thought based on the first photos released of the character, so I started thinking how the whole god-like powers thing might have worked on screen.
Well it would seem that a single disturption in the timeline warps reality, creating super-ships, hyper-warp, blinged-out Klingons, and radically different facial features. Kinda odd if you ask me