It's unfair to sweep provision of methods to the military under a "respect the service" catch-all justification.
Two things can simultaneously be true: (1) individuals serving in the military are making sacrifices (in terms of pay, family life, personal safety) that deserve respect and (2) the military as a political institution will amorally deploy whatever capabilities it has access to, to achieve political aims.
There's a reason the US stopped offensive chemical, biological warfare, and tactical nuclear device research and production -- effective capabilities will be used if they exist.
Just a couple of thoughts since it seems like the next issues in this space are rapidly arriving or already here.
It was also the product of perceived overmatch on both sides -- the Soviets believed they had superior mass of armored formations (and they did), while the US and allies believed they had technological supremacy (and they did). Ergo, neither needed tactical nukes.
It didn't hurt that it helped both in the eyes of the then vehemently anti-nuclear European movements.
Offensive bio and chemical weapon limitation is a more nuanced decision.
In both cases, their primary use was either local mass lethality or terrain denial, neither of which were important in the then-gelling American doctrines of maneuver.
The sole use case they seemed viable for was industry denial (e.g. contaminate a high capital cost industrial center), a task at which strategic sized nuclear weapons were equally adept (and more easily stored). So, if you had to have strategic nuclear weapons for deterrence, and they were capable of the same task, why have fiddly bio and chemical weapons?
But in both cases there was also a constant radiant pressure of scientists and the public campaigning against them, and being unwilling to work on or tolerate them.
Absent that, who knows how history would have turned out? Normalization is a powerful opinion shifter.