It's nothing to do with you, it's his body.
Take your fucking 1950's disgust at tattoos and get in the fucking bin.
Feeling unnerved by what this guy looks like does not automatically mean you have a 1950s disgust at tattoos.
I like some people's tattoos, others look ugly to me. Tattooed eyeballs makes me feel weird and uncomfortable because it affects how you see his expression, and humans in general rely a lot on being able to read each other's expressions.
Plus, other people's view on tattoos are nothing to do with you either, they have their own minds, just as he has his own body.
Tattooing means sticking a needle in your skin to leave a permanent layer of ink under it. If that freaks some people out, that's reasonable surely.