The deep divisions mostly came later in the 60s. The early 60s was the calm before the storm. The Vietnam war was barely on anyone's radar in 1962 - there were only ~9,000 US troops there in '62 and these were being referred to as 'advisors' - the vast majority of Americans didn't even know where Vietnam was or that we had any troops there at that point. Kennedy had not yet been assassinated. The Civil Rights movement was in progress, but again, not on the radar for most Americans yet. Most Americans felt that the Soviet Union was the existential threat - not a lot of division about that at the time.
Silent Spring certainly seems to have had some major impact at the time it came out - by 1970, eight years later, we had the EPA and Earth Day. Again, it's hard to imagine any kind of book or film coming out today that would have a similar impact on the culture at large since we now have a collection of subcultures each with their own preferred media outlets. In '62 you got your news from your local newspaper and the networks (mostly CBS & NBC at that point, with ABC as sort of the upstart) - while newspapers did often have a political slant, broadcasters mostly all had the same political slant (or lack of one) due to the fairness doctrine.
> discussion were high yet still lead to our 2020's society being only marginally more ecologically responsible than the that of 1960's (if that).
I think this has more to do with Reagan and the rise of the right wing in the 80s and into the current era. That led to backsliding on ecological progress that was made in the 60s through the 70s. Jimmy Carter was probably our most ecologically-minded president - he even began to sound the alarm on climate change towards the end of his administration.