How many people could US mobilize realistically?
How long could it sustain that mobilization?
How would it have to adapt to it?
Would they rather use nuclear weapons than do that?
Fit formilitary service:
60,620,143 males, age 18–49 (2010 est.),
59,401,941 females, age 18–49 (2010 est.)
I have a different perspective than many of the posters, so I will start with the first post.
The 10% of total population is probably about the right figure. It is based roughly on 20% of the population being adult males from low end of 18-21 years and high end of 40-50 years. Half the working age males have been done enough it is doable. So the USA has enough bodies to do say 35 million before we begin to consider options like allowing unlimited Latin American worker permits. The we have issues like the USA not liking drafts, and the associated political issues. So for all intents and purposes, the available manpower pools is simply whatever the political will will allow and tax resources. You can pay draftees peanuts, but they still eat food, and even worse, the consume military equipment/supplies at frightening rate.
A good operating assumption is that any Great War (World War, War of National Survival, whatever the name) will go nuclear. I agree that this is almost certainly true. The odds US soldiers are occupying Wuhan, Beijing, Shanghai and the Chinese have not used strategic nukes is very close to zero. Same for USA losing.
We need large/powerful enemies to have a max US mobilization, so I guess we are looking at China, Russia, and/or India in some combination. We need some big issue that can't be negotiated, at least seems big. So lets make it a USA versus China war for simplicity. I read a quote that goes like "The army the USA will occupy China with does not exist, and the Chinese Navy that will win control of the Eastern Pacific does not exist". So we have the great cause of the war, what happens.
As Calbear and others have pointed out, the war consumes equipment much faster than it can be replace. In a day, you will consume a week or month of production. Maybe faster if we are fighting decisive battle. Within a few months, the equipment stocks are depleted. I know the Chinese will not have surface control of the Pacific, they might not even have a navy left, at least anything vaguely blue waterish. I can't see how the USA can occupy China with existing land forces. Just the occupation part is too big for the USA, if the Chinese Army simply surrendered. Someone will be winning at this point, but far from decisively. We have then the choices for the sides.
1) Conditional negotiated Peace.
2) Go nuclear
3) Continue the war.
You need option #3 to get max mobilization. Since it takes two to make peace and one to make a war happen, let's assume one side or other can't end war with collapsing. Then we get a long pause like WW2 where we build, but without the buildup for the USA. It would take years for the USA to equip an army to occupy China, decades for the Chinese to build a good enough navy. If we go down path #3, even for a bit, the weapons will not be what we are using. Too expensive, too slow. So say the USA wins the first stage of war. No one uses nukes (good luck on that POD). The USA will have to turn to people like Ford/GM and ask "What kind of vehicle can you build with a weapon at the rate of 10,000 per month in 24 months?" You get something, if it is a F150 technical. You will not get anything like a M1 Abrams.
You have to use existing machine tools to even build for a 2 year out window. Sure you may increase Abrams productions by a factor of 5 in two years, but it will be no where near the 10K per month or more you need for the 35 million man military. Setting up something as low tech as a plastic bag factory can be a year from decision to about full capacity. No one keeps spare machine tools laying around. When we order plastic bag machines, the steel had not yet been produced or if it was, it was hanging around the steel mill. Same for all the other things in the machine. I would not be surprise if a F-35 factory built from scratch would see 0 planes built year 1. Would not be shocked if it was almost 0 in first two years.
A great mobilization without a half decade leadup to hostilities means we are fighting with modified civilian gears. Think of the light infantry division using 30-06 as it personal weapon, IED as mines, drones as air support, and the like. This is best the 201st division of the US Army has in Month + 18.