If there is anything more irreducibly complex it's the human brain.
I appreciate that "irreducable complexity" is a trait in want of a definition, but surely even you can't believe this.
Anybody who's suffered any sort of brain damage or stroke can testify how reducably complex the brain really is. The brain can suffer the removal of all kinds of parts and still continue to function.
No biggie, though. I'm sure you'll impugne my understanding of biology (and possibly the legitimacy of my parentage) without making any sort of correction to your argument. Have fun!