Not even close

Actually no. Just no. The US armed forces do not possess a higher count of "guns" than the public. Not even close. But that misses the point. They possess weapons of far higher lethality and effectiveness (heavy machine guns, howitzers, bombs, etc, not to mention nukes), together with staggeringly capable systems to deploy them (aircraft, tanks, etc).

We are talking a population of 303 million compared to an active military + reserve strength of 3 million. There are over 250 million privately held firearms in the US. The armed forces would not have more than a few million personal firearms.