You lost me at "randomness pillar". I don't know about all that stuff, mathematical odds and all that. The only thing I know is that we have a bunch of bones, some organims, look alike, some look different, some look similar to others, and that there is genetic analysis helps clarify things. And we have to explain this somehow. That's a physical reality I can (literally) grasp and hold onto. That reality trumps any mathematical construct, which is more likely to be flawed than evolutionary theory, as far as I'm concerned.
I only ask that no determinations are pronounced until all sides have been given a full, fair and objective hearing.