Probably not. But with regard to issues like constitutionism and the intent of the Founders, there is a considerable body of work available for consideration. I'm skeptical of conclusions drawn from one quote by one man, and a single sentence lifted from the Preamble.
Axioms can properly be constucted an applied in mathematics. The term is something of a misnomer when applied to political philosophy, but generally speaking the less you base your conclusions on the more "axiomatic" it's going to appear, and I think there's a lot more to the situation than what's being presented as the relevant facts.
Nice response, but you dodged the question. To make it pointed: what should conservatives tout as the basic tenets of “conservatism?”