Never make an acme thread for wood. The correct thread for wood is a 90 degree V form. The crests do not have to be sharp. In Colonial Williamsburg,I made wood screws up to 12" dia.,with threads 2" wide. We made the threads for many items,right down to thumbscrews for marking gauges,by using a metal lathe. we made a fixture for holding a wood router motor in the toolpost.the cutter was applied at a 45 degree angle,which worked out nicely for the 90 * thread that wood is supposed to have.
The trickier part is the tap. For clamps and other more usual size threads,I made taps. Wood threads are much more coarse than metal threads,so metal taps are not appropriate if you want decent looking wood threads. For 1" dia,the thread is like 6 threads per inch. The old taps were often made tapered,and ground square. They are diffucult to keep properly aligned in holes.
A more advanced type,which they had even in the early 19th.C.,which I always made,was a straight,threaded drill rod. At the cutting end,the thread is cut down to thread depth,leaving only a fine line of the original thread depth. On a 1" tap,this cut down cylindrical area should be about 5/8" long. Length is not too important.Just make it long enough to guide the tap into the wood. Then,turn a flat nosed tool sideways in the toolpost of the lathe,and run the carriage back and forth sideways,and plane away the first thread until it is planed so that you have a full width thread that is square on the end.In other words,a 90* thread that is flat on its end. Drill,or mill a hole right at the end of this thread,so that the hole leaves the formerly square ended thread with sharp,scalloped cutting edges. This hole can be about 3/16" in dia. This is what cuts the wood. Last,drill a hole into the very end of the tap so that on a 1" tap,the walls of the cylinder are almost 1/8" thick. The hole drilled through the square end of the tap exits on the inside of the hole in the end of the tap. This is where the shaving from cutting the thread into the wood goes.
You must harden the end of the tap,so that the cutter is hardened,and draw it to a dark brown color.
To use the tap,drill a hole into the wood to be threaded. Make the hole a little larger than the outside diameter of the cylinder on the end of the tap. The tap will easily cut into the wood with some downwards force while twisting,and the wood you are cutting away will come out of the end of the tap.