I won't risk this even if I'm driving a Mini.
I haven't tape measured the pass, but would you take your chance with 2-way traffic on the bridge? All it takes for a rather expensive repair bill is just one incident. This is a statistical inevitability when you're driving such a wide car and crossing the bridge.
For the same reason that I'm reluctant to drive MS into many car parks with narrow entrances. Sure, you may save a few bucks, but sooner or later, you may end up with an expensive bill to repair rim rash or body panel scratches.