I try not to park on the sidewalk.
I usually try ot find a spot out in the open away from the other humans. I do that with my cages also, even though one of them has been totalled. I just have a thing about people that can't get out of their car without marring the car next to them. That's me.
The main reason I don't park on the sidewalk is that boneheads will let their kids (or at lest refuse to stop their kids) climb on your bike like it was a freaking coin-op ride thingy.
Hasn't happened to me, but I've seen it.
At work, the bikes used to park on the sidewalk, because we thought we HAD to park there. I stood and wateched a b!tchy lady bump into dude's brand new V-Star HARD, and she just kept walking. She bumped the handlebars and the whole bike rocked like someone had jumped in the saddle

. From that moment forward, I started parking in a regular spot. They tried to tell me I couldn't, but they didn't have a rule. I was like, "It runs on gas, it is licensed, you must have a license to operate it, and it CARRIED MY SKINNY BUTT 25 MILES TO GET HERE THIS MORNING." They had no rebuttal.
I park in a regular spot.
<My workplace (county government) has 600 employees and only 400 parking spots. That means that if you stand in a group of 3 employees, one of them had to seek parking outside the facility. We are in downtown Memphis.>