I disagree with you, because the claims of Hinduism directly contradict the claims of Jesus. So just in my example here, one is wrong or both are wrong, but both cannot be right.
I mean it is logical in terms of not contradicting itself. Once you believe in Jesus (or Judaism in my case) it drops out as a possibility. But from the standpoint of someone who is not convinced by any faith, it is not illogical.
And that's the problem -- if you are trying to convince someone to accept Jesus, who has not yet accepted Jesus, you cannot use logic that is axiomatic on belief in Jesus to achieve that.