On top of this - A near-peer war will be won or lost in the first few weeks of committed material, not manpower. Neither side would be able to sustain the material losses needed to hit the manpower losses that would justify a draft, much less sustain the material losses for long enough to train the draftees to even the most basic level of competence. Any lesser commitment of materials to avoid the above issue would be a correspondingly lower intensify of conflict, nullifying any realistic need to draft in the first place.
The days of converting car factories to producing tanks are long gone. Even if they drew up wartime designs to utilize the manufacturing capability that is available, they wouldn't be able to keep up demand for other components such as electronic systems that would be required to avoid making it just a rolling missile practice target. And you are simply put not capable of just press-producing critical equipment like aircraft no matter how hard you try to retrofit existing lines. Outside of small arms and support vehicles, you're going into any war with what you've got stockpiled, and you'll win or lose off the merits of that equipment, not what you could be producing a year down the line.