Good post CamelPilot - the museum I used to be involved with would love to let people clamber into aircraft but the litigation aspect with the radiation has scupperd that despite the fact that we knew (after testing) the radiation was negligible. We had a small airliner which was to be converted to a hands on exhibit complete with access ramps but again issues re litigation come into the frame. And yes everything has to be bolted down!
You don't necessarily have to touch - a bit of atmosphere goes down well so sound, vision and surrounding exhibits all can help to bring an exhibit to life. Have to be careful though as on special event days we've included sound and watched a hangar full of people empty as they rush outside to see what has just "flown" over