[idealogue]

This is a highly normative opinion. Your version of integrity requires you to cow to a system that has been built for the purpose of your oppression. Your beliefs in following legal channels, turning the other cheek to abuse, and failing to defend your fellow man against dehumanization are the result of indoctrination by a system designed by the wealthy to keep themselves wealthy at the expense of the many.

I get rid of people from my life who I think don't have integrity, or whose values are different from mine in critically important ways.

On this, however, we agree entirely.

[hoodoof]

I'm not religious, but one of my ideologies is to do unto other as you would have them do unto you.

I think if everyone treated others the way that they would like to be treated, then the world would be a better place.

[nickpsecurity]

"I'm not religious, but one of my ideologies is to do unto other as you would have them do unto you."

That belief was created and pushed by religious, political, and business elites who themselves did not give equally to other people or treat them fairly. They always schemed out more for themselves. Your rule is best modified to do onto others as they would actually do onto you to the best of your knowledge. Otherwise, your rule will result in more evil happening overtime as the good people will work within the schemes created by the bad people. That's already happening.

Illustrated nicely in Hawk-Dove game:

https://en.wikipedia.org/wiki/Chicken_(game)

http://www.oocities.org/hawkdovegame/simulation.htm

Even includes retaliators which are relevant here.

[douche]

The platinum rule, of course, is don't do unto others as you wouldn't have them do unto you.

Maybe that is too cynical, but it works well as a rule of thumb.