Yes, I think this draft gets closer to beginning work on this question.

But here you have dealt with the difference between "I believe 2+2=4" and "I believe in the existence of God." You have not dealt with "I believe in the pursuit of equality and social justice," or "I believe in putting criminal behind bars," or "I believe in smaller government." Nor have you dealt with "I believe in myself," or "I believe in you," or "I believe in Gandhi." Both of those inquiries are at least as relevant, and perhaps more relevant, to law thought. From there, it might be possible to address "I believe in federalism," or "I believe in private property," or "I believe in free speech."