No, Vietnam did not have the same callousness involved as an entire nation's effort to wipe out an entire race of people.
Vietnam soldiers were a bunch of misguided young American cannon-fodder that didn't want to be there. Some of them were callous. It was not Nazi Germany.
Most German soldiers in WWII were unaware of the death camps, and were the same kind of mix of volunteers and conscripted youth with nationalistic and idealistic components. If you think it was the "entire nation" that was working towards the Holocaust, you need to read more books and watch fewer action movies.
Keep in mind also that men like Ernest Medina had a one-hour trial and was acquitted across the board, and William Calley was actually given a life sentence... very briefly, until the POTUS himself stepped in and changed it to house arrest, and shortly thereafter gave a full pardon. Meanwhile heroic men like Hugh Thompson were given senatorial censure and publicly hounded. Trying to paint the US portion of the horrors of the Vietnam war as merely the result of 'a few misguided conscripts' is, frankly, obscene. Hell, the journalists covering the war used to call the daily afternoon briefings from the military "The Five O'Clock Follies", due to the sheer amount of CYA bullshit in them.
Edit: Perhaps a question - who do you think is more callous: a soldier who rounds up 'undesirables' and puts them on a train to what they think will end up at a work camp somewhere; or a soldier who shoots unarmed, unthreatening civilians for either entertainment (door gunner) or some sense of revenge (My Lai massacre)? This is what I mean when I say similar callousness was involved.
Vietnam soldiers were a bunch of misguided young American cannon-fodder that didn't want to be there. Some of them were callous. It was not Nazi Germany.