I will share criteria that I use in order to determine whether someone’s writings are intellectually honest or not.
Firstly, intellectual honesty does NOT mean neutrality. It is perfectly possible to have a preferred position on a subject (it can be in the scientific minority or not, that doesn’t matter) without being intellectually dishonest.
Here are the criteria.
1)Transparency. Do they hide that they have an agenda/preference or is it public knowledge? Do they hide behind scientific neutrality or do they openly admit that they are interpreting facts according to a philosophical/religious position?
2)The use of sophistry in their writings. Are their writings logically sound?
3)Are the categories they use clear? Is the language understandable or is it purposefully obscure?
4)Do they accurately represent the scientific opposition and answer to the real counter-arguments from the scientific opposition or do they tend to strawman their opposition?
5)Do they use force or threats in order to neutralize scientific opposition?
6)Is there a double-standards for what constitutes evidence? As an example requiring irrefutable proof for opposing positions but using shaky proof for their own position.
The problem is that pure rationalism isn’t an actual framework about what to do with one’s life.
Rationalism is a scientific methodology applied to thinking. So, you applied that framework, and you found out that the state of the world was quite shitty. Well, congratulations for that.
Now, as to the question of what exactly to do, I cannot tell you what to do in your stead, after all you are your own person. However, there is a category of thinkers who dealt exactly with the problem of what to do when the world is shitty and we have little power over it. They are called the stoicists.
I suggest that you read classical greek philosophy. If you think the world today is shitty, imagine how the world was thousands of years ago. The apology of Socrates, Epictus’ manual, the Meditations from Marcus Aurelius. Those works are a lifeline exactly for the kind of people that rationalists are.
You do not need to fix the entire world, that is impossible. To make the world a better place, the answer is far more simple, it’s to act at the local level yourself to improve things or to refuse to act in an unethical fashion. And, you will suffer. You will be treated like shit by those with no moral values. You will be mocked and hated. That is just how it is for people who care about doing good.