<<<The workflow will be a pain. I'd avoid it if at all possible. >>>
When you find out how difficult this is going to be to achieve marginal results, you will personally write the check for the rental on a second matching camera. If you do go with the 25P to 23.98 process, please note that there is going to be a slight sound sync issue because in order to work, the PAL material will have to change speeds. The time signals associated with this work are going to be slightly off, too.
You didn't need matching lips and voice, did you?
We're not kidding. Your best option is to run away very fast or take steps to make sure the show is not shot as you described it.
Koz