I agree with you in theory, and if everyone agreed to abide by this principle, the world would be a much better place. However, how does one define 'reason' and 'rational' in a strictly materialist framework? It seems that you are implicitly assuming at least some sort of metaphysics (in a nontheistic sense) in order to use words like 'rights' and 'reason'. Otherwise, from a strictly reductionistic standpoint, all you have are the firing of electrical signals and chemical reactions.
That which is rational, is that which is logically consistent with reality. Are men always rational? No, of course not. Does that mean that we should abandon rationality? Hell no.
It seems that you are implicitly assuming at least some sort of metaphysics (in a nontheistic sense) in order to use words like 'rights' and 'reason'.
Of course I am.
As a rational human being, I have no alternative.