I'm a casual anime watcher and don't have anything against people who watch it more than others, but the ones that (as donavannj said) reject everything western are the ones I generally have feelings of dislike towards.
It think its greeeeaaaaat to be cultured and to know things about a culture you're not involved in and immerse yourself into it, but neglecting yours for another isn't something I think should be done and I really worry about those who do that. It's nice to have a balance between the cultures you immerse yourself into, whether it be Japanese, Korean, Spanish, French, Italian, etc.
But you know what? As much as I dislike people doing that, it's their life and if they want to do that, all power to them.