I really think TOS fans will most likely not have a lot of issues with Starfleet officers passionately not agreeing and not displaying a 'Utopian sense of political correctness' - but yeah, TNG era fans will probably lose their s**t
I've said this before, but I think from a dramatic storytelling perspective, TOS holds up much better to time than does TNG.
IMHO, I find that even VOY is more watchable today than TNG, I think because with Voyager and its crew being a ship that was basically a guest in the Delta Quadrant, the writers and showrunners probably realized that the crew didn't always have the right to be preachy to the races who called the Delta Quadrant home.
The whole
"our society has evolved past that" mantra that we heard over and over again on TNG got a little old, and the way that the TNG characters used themselves as the moral standard when sizing up a race they just met was all just a little too thick, oozing with self-righteousness. I think that preachiness and self-righteousness is a product of its time (the late 1980s and early 1990s).
It seems with TNG, beacuse of this "utopian society that Earth had become, the writers treated the crew as the moral authority of the Alpha Quadrant, rather than unwilling guests like Voyager. And as the moral authority, they seemed to feel quite entitled to pushing their own values on others -- which was quite the American and Western World thing to do in the 1990s when it came to interacting with the rest of the world. The western world was about to win the cold war, so they felt that their way was the best way -- an idea that was reflected in TNG stories.
TNG did not necessarily reflect the "Democracy and Capitalism is #1!!" idea, but rather it reflected the feeling in the 1990s that the western world knew best. That came across on the show as as "the Federation always knows best".
And for that reason, it feels dated. You'd think the mid-1960s TOS would be similarly preachy, and if it were made 5 to 7 years earlier, it might have been. However, America started to look at itself through less rose-colored glasses in the mid to late 1960s until the mid-1980s, and realized they are not necessarily the highest standard that the rest of the world should strive to attain...
...And that idea spilled over into the writing of TOS, in as much as Kirk et al. realized they could learn some moral lessons from the races they met. Not all of the time, but relatively more often than TNG did.
In TNG, Picard et al. were usually the teacher of morals rather than the learner of morals.