Something is wrong! Not only are Green Mountain breech threads long as said, but they are TIGHT! It took 4x as long to breech a GM as a similar Rice barrel.
Maybe someone ran a normal hardware store tap into your GM, possibly even a vendor to cut down on complaints from users? It might still be ok, but I understand your concern. Does it tighten up at the end or only when fully seated?
Also, check threads as Dennis said. 5/8 seems small for breech on swamped barrel.