IANAL. However, I don't believe that the US military can impose criminal sanctions on civilians, only their own personnel. (With specific exceptions for being called in to deal with specific emergencies, etc.)

From the article TechDirt links to: "Declassified US Air Force counter-intelligence documents, released under US freedom-of-information laws, reveal that military personnel who contact WikiLeaks or WikiLeaks supporters may be at risk of being charged with "communicating with the enemy", a military crime that carries a maximum sentence of death."

So far I haven't seen anyone link to the document itself, so it's all third-hand.