It was Kaiser-Jeep at the time, and this pickup doesn't exist. It's mimicking a Dodge, but it's just a retouched Jeep Gladiator, in an ad for, precisely, the Jeep Gladiator.
And the site says "This is a really cool ad. It is comparing the 1963 Gladiator to a nonexistent model pickup that I guess is supposed to look like a Dodge of the same vintage. But, if you look closely, it appears that this "Dodge" is actually based on a Gladiator, but with a higher suspension.. I guess that it is most likely an airbrushed photo, or the people at Kaiser built it themselves. The similarities include the fenders, fenderflares, the quad headlights, the front bumper, the shape of the hood, and the length of the bed, among other things. Funny, isn't it?"