Let's assume there is no good side of the DoD. Let's assume that the military is 100% teeth-gnashing devil dogs with nuclear weapons. Which is what they aspire to, I assure you.
Two things, 1) whether they have a $700 budget or $700B budget, the DoD executes the orders of elected civilians.
2) Don't you still want to make it as expensive as humanly possible for other countries to get the plans to those weapons? Even if you live in Paraguay, rouge states with nuclear weapons increase the cost of international economic collaboration and thus decrease your quality of life. Securing the US Government's weapons information is in your best interest.