Disregard if you are already aware of this but, I would not shorten it yet. A patent breech is much easier to install on a new barrel as you can clock it to the next available flat by only having to file the thread shank shorter. If you are installing it on a barrel that already has underlugs and sight dovetails, you must time the end of the breech plug and the octagon section to close at the same time on the barrel flat that you have to use. Of course, if you are using a lathe, you can place it on any flat you want much easier.
For what it is worth a standard TC type breech as sold by T.O.W will tighten up at both ends in a new GM barrel with little filing on the threaded end, allowing one to pick the next available flat so the breech face will tighten at the same time the octagon flat closes up tightly. The only drawback is that sometimes the "GM" with the little Mountain trademark will be on a visible flat.