Someone is stealing from me. If i catch them on video, will the police do anything?

Long story short, someone is stealing cash and items from my home, and it likely is a "friend." Just this week, $400 was taken. We think we know who it is, but cannot prove a thing.

Obviously at this point, calling the police will do nothing. I've had my house robbed and car broken into before, and even then with broken windows, etc, the police do nothing but write a report if they even come out. Even if you have nice finger prints and eye witness descriptions, they do nothing.

However, if we set up a camera, leave some money in the drawer as bait, and catch the jerk red handed on video, and call the police, will they do anything? Or will they still consider it a private matter and tell us to take civil action? Will they arrest the person, or is suing the only legal action we can take?