A view from the other side, this time on an F-4A:
A view from the side with the cover plate removed:
This picture and the one below were taken and provided by an anonymous contributor
And a view from behind and below looking up and forward showing the carry-through structure covered by the plate and the stabilator actuator.
USAF stabilators were eventually modified with a blunt arrowhead-shaped reinforcement plate at the forward juncture of the inboard and outboard panels. This appears to have been introduced with the addition of maneuver slats on the F-4E (see http://modelingmadness.com/scott/viet/us/standf4.htm). However, there was no similar reinforcement associated with the similar maneuver slats introduced on the Navy F-4S (see http://tailspintopics.blogspot.com/2012/12/f-4s-wing.html.) There are indications that a reinforcement was added to this area on some Navy Phantoms, but it was probably a standard repair rather than a required modification at overhaul or in spares production. There are reports of Navy Phantoms with the USAF reinforcement but these may just be the use of a stabilator from USAF stock.