I hadn't noticed it until F7U expert Al Casby of Project Cutlass pointed it out to me, but the external tanks are almost certainly bogus. External tanks are not often seen on the F7U-3 (even though it was short on endurance) but if present, they would have been either the standard Douglas-design AERO 150-gallon tanks, the very similar Fletcher 150-gallon tank, or the bespoke belly-mounted tank. These tanks have no fins and their afterbody has a distinctive upward sweep.
Don Hinton Photo Cropped
I suspect that they are either the 200-gallon tank that was carried by F-86s.
Note that this F7U was delivered to the Pensacola museum with these tanks installed so they weren't a goof by the workshop at the National Naval Aviation Museum.
These are what the F7U-3 tanks should look like:
For other detail issues with this airplane from an accuracy standpoint, see http://tailspintopics.blogspot.com/2015/08/its-not-that-easy-to-get-it-right.html