INCREDIBLE
1. Difficult or impossible to believe.
2. Too extraordinary and improbable to be believed
3. Amazing, Extraordinary
4. So implausible as to elicit disbelief
5. Astonishing, extraordinary, or extreme
6. Beyond belief or understanding; unbelievable
7. So extraordinary as to seem impossible
So, in reality, the claim being made is that Dan is so moral that the level of his adherence to a set of subjective societal rules is simply beyond the ability of people to believe, that he is so good at obeying subjective societal rules that it seems impossible that anyone could be that good at obeying subjective societal rules.
As an aside. One of my cousins is an incredible musician, he has been compared to people like Jimi Hendrix, people who have literally changed how people thought about what can be done with a given musical instrument and genre. The terms that others use to describe him are glowing, and incredible is entirely appropriate. But, I can't for a second imaging him describing himself in the terms others use. He is much mor humble and reticent when talking about his musical abilities.
I think that most of us are unwilling to make superlative claims about ourselves call it modesty, humility, realism, self deprecation, what have you that when someone actually makes such an outlandish claim about themselves that it comes off as jarring, like a note out of tune.
Had Dan simply said something like "I think I'm a pretty moral guy." or "I think that I'm more moral than the average person." then I wouldn't have had a problem. It's the claim that "I'm so moral that people can't believe how amazingly, extraordinarily, impossibly moral I am." that rubs me the wrong way.
Jesus encountered a guy like this, a guy who claimed that he'd kept every single law perfectly from the time he was born, Jesus punctured his balloon.
I suspect that one way Dan has convinced himself that he is "incredibly" moral is that he has constructed a system of morals which happen to align with how he behaves. He's clearly made comments in earlier threads that indicate that he does not believe that things like drug use, pornography, or abortion are immoral. His point may be that he believes them morally neutral, but even that puts him at odds with millions of people.
In closing, perhaps modesty and humility is a more appropriate choice when describing ones self
At least for now, I am not going to allow comments on this post. This is simply my expressing my opinion and explaining why I have responded in the way I have to Dan's claim. Given that I fail to see how comments will be useful. Comments about this posted elsewhere will, of course, be ignored and/or deleted.