Here is a start on an answer:
This P-47, 42-26716, E4-K, was in the 362nd FG, 377th FS. At this time in the war a color film was being made about the 362nd FG. That film (or significant parts of it) was used as the basis of documentary on the History Channel called “Thunderbolt, Conquest of the Reich”. I don't know if the History Channel used all of the original film in their documentary or not. I suspect this clip may have been an “out-take” from the original WWII film. You can probably still order the History Channel documentary.
http://docuwiki.net/index.php?title=...t_of_the_Reich
Here are some shots of the plane in the air. The first frame has the name Lt Col Wm Clothier. I don't think he is the pilot, rather he is the cameraman taking the photos. His name shows as the cameraman on the 2nd clip below. I believe he was with the 4th CCU. Note the 4th CCU is credited for the pictures on the link you gave.
http://www.criticalpast.com/video/65...-another-plane
http://resources.ushmm.org/film/disp...?file_num=2356
If you look at other clips on CriticalPast.com featuring the 362nd, many of which are gun camera shots done in April/May 45, pilot names from the 377th that appear on the clips are Hunter, Dugan, and Pantoliano so he could well be one of those.
I found the full names to be Lt Thomas D Pantoliano, Lt Clifford E Dugan, and Lt Joseph E Hunter ( later Captain in 378th Sq)