There's several holes in the orange mounting disc, so rotation looks possible, but then there's the question of clearance at the back. The 1971 Galaxy GT had the motor this way, and with the handlebar pointing up too. There was a crack in the rear deck near the handlebar mount that I've had welded, and I feel that taking the weight off the front will reduce strain on the repair.
I used to have a purple plastic SS catcher, but it cracked up of course.