The scriptures themselves are infallible. If you require infallibility in interpretation, there are 2 choices, yourself or someone else. I think it's most reasonable to choose myself because I know why I interpret as I do and I can change my interpretation at any time if I gain additional insight. Moreover, I can examine myself for bias or prejudice to a degree that I can't examine others.
Discussion
Yes, we are in logical agreement, and yet come to 2 different conclusions. I would say that I am safer trusting in the church consensus and apostolic tradition to tell me what the church has believed from the beginning, while you find it safer to intellectually discern the truth yourself by your personal devotion and interpretation of the scripture.
Thanks for the discussion. Blessings.