What killed the draft before was the great surfeit of potential candidates for conscription. The “draft lottery” based on date of birth, was seen as something akin to playing Russian Roulette with a revolver pistol. The fact that the conscription was for a war that did not ignite the passions of young men, and the chances of the “selective” service being unfavorable in any instance weighed heavily on the minds of perhaps a majority of those subject to the draft.
There is no longer any great pool of potential service members to be drawn from the general population. So few are COMPETENT to serve, either because of physical problems, lack of any trainable skill sets, or ideological reasons which would make them unreliable in combat.
And there is no compelling reason to enter into a farce of conflicting and often unattainable goals that have nothing at all to do with military readiness.
Once we reached the point in our history where draft dodgers ended up better off than those who did what they were told, the credibility of the U.S. government was completely destroyed and nobody would have any reason to listen to their government leaders again when it came to consequential matters.