Social sciences and questions about how a mass population would behave are always fuzzy. Some people would and some people wouldn't. My argument is that most people would lie to others and themselves, so much so that it encompasses the greater majority. Although I said all people, I would argue that common sense implies the phrase "almost all" because such absolute answers don't exist in the social sciences or sciences in general.
Also I didn't emphasize hard choices involving death. I was referring to life's work. Something you believed to be true your entire life and suddenly you have to give it all up because it's not true. (Think religion and evolution). There are examples of people slowly accepting the truth rather than instantly but even those are few and far in between. To maintain the illusion people build scaffolds like intelligent design to make sure their old frameworks fit the new ones.
I'm not talking about coexistence either. There is no need to bring that topic up. The only fact to support my thesis here is that part of the population is verfiably delusional for sure.
I also disagree with you about honesty. It's more complex than that. People can lie to themselves. Their biases can mold their behavior to the point where they deny logic. One religion must be wrong and those people will fight to the death for their beliefs just like how a fossil fuel company must be wrong and they will fight to the deaths for their beliefs.