I've tried that aswell and it looks a bit better, but that isn't always (never?) a good solution.
Jacob, I've had no luck with the other thread, I was already using smart guides. This is a strange problem. I've not seen a lot about this anywhere else, don't you guys have this issue?
There is one better solution than a background layer. Select all objects and offset the path buy a very small number, maybe 0,01 mm but that is also more of a "hack" than a real solution..