If you encountered a table that had 500 fair coins 100% heads would think the 100% condition was the result of design or chance? Granted you know there are such designers capable of doing this (humans).
Those who accept ID are willing to make a guess that there are designs in nature even if they don’t see a designer. The 500 fair coins 100% is a violation of the law of large numbers. It is echoed in the problem of DNA and or protein assembly in a pre-biotic environment because of the homochirality, and homolinkage problem that are violations of the law of large numbers. There are many more levels of violation of expectation, but those are the clearest examples.
Also, universal common descent isn’t necessarily evidence against design arguments in general.
I posed this question to ex-Christian-turned-atheist Tracie Harris on a call in Radio Show – if she were blind and Jesus healed her like the blind man in John 9 or in the account by Astronaut Charles Duke healing a blind girl in the name of Jesus, would she follow Jesus the rest of her life. She said “no”, she would look for a natural explanation. Harris is thus implicitly rejecting the design argument on some level.
There may be a point for each person where they might accept design.