Not so much...

The man wasn't charged for shooting his mower. He was charged for "possession of a short-barreled shotgun or rifle and disorderly conduct". In most areas, it's illegal to possess a sawed-off shotgun, under the notion that desiring the increase in the spread would only be useful in an anti-personnel capacity. As for the disorderly conduct, he was probably shouting obscenities and generally disturbing the peace.

The government isn't saying you can't shoot your lawnmower. They're saying you can't do it with an illegal gun, and you can't be a nuisance to others. Only newsworthy for the humor of a man "putting down" his lawn equipment, and not for the "damned government stripping us of our rights" wackos.