Not quite. Both your cat and Chopin Minuets are intelligently designed, but they are not designed to interface in such a way that the latter would normally be subject to the former. Now, your cat could probably listen to Chopin's Minuets, but not if neither the cat nor the Minuets were intelligently designed.
Yet no ID proponent has offered the slightest clue how the 'designer' would execute their design using known physical processes.
That's what science is uncovering all the time. Where have you been?
If human remains were found in strata that had reliably dated to the Jurassic it would be major news.
For a little while, perhaps. But then we'd just wave the evidence away as an anomaly. "It only happened once." "It's only anecdotal." "The human bones were planted there by those dastardly creationists."
I see we've entered FesterWorld again; I haven't the slightest idea how to parse this gibberish.