Cool opinion. None of it is true. You may think they are "generally badass MFers" but there are plenty of people, myself included, who will see "corporate integrity" as a weakness. In fact, if you interviewed the world's most powerful people I'd bet all the money I had none of them would tell you to be a "nice person" with "integrity". Warren Buffett, for example, uses this image (and you should abuse such an image), but historically is a cutthroat.
If you want integrity join a church. The people in power who have convinced you that they have integrity and that's how they got there are exploiting your naive sense of moral purpose in life. Wake up.