I'm going for it this summer. I'm taking this crap out, vine by vine, a little bit every day. It's hard to tell, but this is a corner lot, and the ivy continues around the corner.
I started on Wednesday by spending an hour pulling vines while listening to the Vines. I spent another hour on Thursday and maybe a half-hour tonight. So far, I've cleared maybe five feet.
I'll still be at it in September (probably down by that light pole) and by that time, the first part will probably be growing from the leftover roots.