Why can't you have classic bikes with clipless pedals? Old American hot rods often have a few modern touches on them. I'd be a grump without my pedals. Looks like the place to be though.
But you can still have the cages which do the same thing just not as efficiently. I'd love to do this more then to visit the Tour.
A couple of years ago, the wife and I did a 5 day self guided tour of Tuscany. It's a great place to ride but there is a reason they call them Hill Towns. Every day the last few miles was a huge climb to get to our destination for that day.
