Why are these mutually exclusive????

They don't have to be.

This black-or-white question is rooted in a falsely constructed paradigm. Falling into the trap of jumping to "happy" while sacrificing "right" is indicative of lazy or weak intellect and/or self-centeredness. Who the heck doesn't want to be happy? But, how can one be if "wrong?"

No one ever said doing the right thing and living with integrity and [hopefully] affecting positive change is easy. That's why many people don't. And that's why the rest of us generally need professional support. IMO.