I will bring religion into this because your going against Allahs rule. If you find it disgusting and weird, you find our prophet to be disgusting and weird, you also find Allahs rule to be disgusting and weird.
Everything in this world links to religion. If you value humanity more than your lord then you need to find your imaan again.
Allah didn't tell us to marry cousins. It's not 'disgusting', but nobody is going to promote constant cousin marrying, it is not a good thing to keep returning to one's own family.