@ABE5177,
True, you can't put someone on ignore and then vote down his or her posts (it's possible but a hassle -- you'd have to select "view" for each post and then vote it down).
You can more generally ignore (as in, scroll past, don't respond to) annoying people and vote down any post that's particularly bad. When a post has more than five downvotes, it disappears for most (depending on what your settings are).