If those laws were ever enforced, every competent criminal in Arkansas would hire an atheist as his partner in crime: “Article 19, Section 1: No person who denies the being of a God shall hold any office in the civil departments of this State, nor be competent to testify as a witness in any Court.”
I guess Abby’s point applies to the truth or falsity of information, like whether evolution happened or whether there’s a God, but it doesn’t apply to the type of belief that deals in matters of opinion, like value judgements. If I say that I believe doing drugs is wrong, or tofu is delicious, or Enterprise was the worst series of Star Trek, I’m not assigning a probability to the truth of that statement. I’m just stating that it’s the opinion I hold.
Then again, maybe all issues are matters of opinion, if opinion can include which definition of a word is the correct one. If my definition of “unicorn” could include a rhinoceros, my estimate of the probability of their existence goes way up. Same if my definition of “God” could include powerful forces like love and gravity, or the collective intelligence of life on Earth.