You're lucky to live that close to the museum - that was a horrid trek from OC, and I'm originally from Woodland Hills!
Since you didn't recognize the prop from Bedknobs & Broomsticks, I say you must watch it! Very cool film a bit ahead of it's time.
I agree - great place to visit regardless of your political affiliations.
Lastly, I feel like an idiot for not recognizing the piece of the Berlin wall. No wonder tourists were posing for pics with it! <OOPS>