Since the intensity of most people's beliefs is low and the specific issues are not part of day to day work, it's not really a thing that comes up except when new news breaks and people talk about it at lunch for a day.
When you take a look at how many people, in an industry where it's trivial to get another job, quit over any of these issues, it's in the single digits.
It has affected by work literally not at all.
Some people care deeply about this stuff. I agree with a fair amount of it. But from my perspective calling it a civil war is frankly ludicrous.
It's true that TVCs are not employees, but this different in status does not amount to mistreatment.
The groups you mention are not mistreated at Google. In fact, the company bends over backward to recruit and accommodate them. I challenge you to name one policy that disadvantages women, people of color, or trans people. These persistent claims of mistreatment are in fact cynical attempts to achieve unearned status and special protection from normal rules that govern the company.
I 100% support anybody who has been a victim at work due to their identity and support programs to help these people.
But that isn't a civil war.