No, it actually makes no sense that a relgion can simultaneously believe that the earth is 6000 years old AND that it’s billions of years old based on how they interpret canon.
Again, to you. That makes sense to the people who do believe that. It's just simply that you have - literally - different ways of making sense.
The OP on this thread only says "That’s a 100% true observations. Most religions can’t even agree with themselves." and I'm (being a giant pain in the ass and) responding specifically to your emphasis that it is this disagreement that invalidates religious thought. I still hold that there's no issue with disagreement within or among religious groups, in terms of the validity of their worldviews.
Religions have come up with ways of determining who is "right" under various conditions of dispute, just as science and other fields (like law), have. I am by no means a Catholic scholar, but I am very much under the impression that the religious texts Christianity are based on require translation efforts, and that those translation efforts can lose meaning in translation, not just between languages but between historical contexts - like many other historical texts. As such, they require study and interpretation - something that even those most fervent and uneducated of followers seem to understand.