Just let them go. Don't give them any ammunition to say that the federal government has imposed any hardship on them whatsoever. Make them look like cowardly fools who can't even properly outfit themselves for a siege, but need the government to magnanimously let them go out for snacks to re-equip. If this were more pressing or in a more populated area or something I might think otherwise, but it's probably the right move to not play at all into their dreams of martyrdom and persecution.
One problem with the "hands off" attitude - what's going to happen when, say, a bunch of BLM or Occupy activists decide to take over a federal building somewhere else? Will the Justice Dept stay hands off there, too? Because if the two group don't get treated identically, this is just going to act as a primer for a future explosion.