Thanks everyone! The view is awesome! I love the privacy I've got here! But, that isn't even the best view I've got, so I really love it here.
As I mentioned, that picture is from June of last year, and I've cut the raspberries way back. I have zero experience with raspberries, so I didn't know what to do with them. I didn't prune them like they should have been the year before, or last year for that matter. No need to remove the daylilies at this point, and I wouldn't do it anyway. It took me ages to get that area weeded and ready for the plants after we moved in, so they are staying. The entire garden isn't covered with raspberries coming up. Just close to the main plants, but they are spreading. Plus, I have nowhere to move the daylilies to, in order to keep them safe from the deer.
My other reason for wanting to get the raspberries removed is because there was a rattlesnake hiding in them last year. That freaked me out! I really don't want to move the bushes right now, but it sounds like the best thing to do, since you all have my convinced that this is just going to get worse! It's probably easier right now, since the roots haven't gone everywhere.
Thanks for all the help!