In ancient times, the woodworker’s bench consisted of a plank or split log with four splayed legs. Descendants of those benches are manufactured today, usually with a top of hardwood slabs glued together. The norm nowadays is four straight legs supporting the bulk above, often with braces and a shelf below. Despite the improvements, the linkage to Greek and Roman antecedents is still evident.
In the "Getting Started with Woodworking" video, the holes through the 4x4's were drilled from the back. That is, they start on the side opposite the precisely-positioned mark, and drill through to hit it. If they can do this, more power to them, but I can't drill through 3-1/2" of wood to emerge at a precise mark without a drill press - and not always then.
For the most part, furniture restorers/refinishers/conservators in the United States lack the necessary hand-tool skills to do proper wood repairs. But avid readers of Popular Woodworking Magazine do possess the skills. Like me in the 1970s, you just need instruction on how to go about it. These books provide this. They greatly influenced the techniques I use in my shop, and many are shown in the “Repairing Furniture” video/DVD I made for Taunton.
I decided to make my own top out of white ash because I had access to a planer and jointer at my local college where I was taking an intro woodworking class. Trim and vice jaws are white ash as well. Everything else is built pretty much as jdege describes. A plunge router with a 3/4" spiral up bit really made quick work of the dog holes. Finished with Danish oil.