That is just one of the reasons. The other is that, with a draft, they would be better able to marshal mass protests against the war.
They remember only too well how "popular" the anti-war movement was in Viet Nam -- until Nixon ended the draft. And, then, people stopped showing up for the riots...
The Democrats want a draft because, not because one is needed, but because it would give them some political leverage.
Exactly...pretty dark hearted of them if you ask me.
Also, it would allow them to cut military pay further (to the point where the total amount spent would be lower even with the larger numbers), thus freeing up funds for more vote-buying boondoggles.