I think it's a great idea. The bike lanes I ride are contraflow oneway streets. Most of the time there is a car parked somewhere along the way, usually with a perfectly legal space across the road. I have to ride into oncoming traffic to go around. To be fair, it's an extremely quiet street, it's just the principle of the thing.
I think a fake parking ticket will let the driver know that they've erred in their parking, and someone else is aware of it. People don't like to feel embarassed, so that may act as a deterrent in the future. Then again, it may not.