Wrong again. Etymology is not a branch of science, it is the branch of linguistics dealing with the history of words. And the root word of "patriarch" is not "padre" - that's Spanish. The root wort of "patriarch" is "pater", which does mean father and is latin. Race as a competition and race as a group of people have 2 different root words, the first being Old Norse "raes" meaning a strong running brook or stream.
And no - you're not wrong because I say so, you're wrong because you put forth an erroneous assertion that runs contrary to all philology and etymology.