I think you could argue the draft forced the war to be real for more families (and the expansion of TV), intensifying the resistance to it. Quick googling says almost 10% of the population served in Vietnam in some capacity. Less than 1% served in the War on Terror.
This was part of Charles Rangel's (D) reasoning to propose bringing back the draft. [1]
This was part of Charles Rangel's (D) reasoning to propose bringing back the draft. [1]
1: https://en.wikipedia.org/wiki/Universal_National_Service_Act