My apologies for posting an unhelpful reply, as I have no ideas apart from calling animal control, but... did anyone else see this post and immediately think of this?

That is so funny! I thought of Pepe, too.

You need to stop feeding both. Maybe placing one of those antistatic dryer sheets there will drive them out, this does work in the tool shed to keep squirrels out. When both the cat and skunk are gone close up the point of entry so they cannot get back in.