well classical physics was first red flagged for what it failed to account for, rather than anything quantum physics objectively provided as an alternative.
But
ToE made a clear prediction that natural history would show smooth steady incremental improvements
ID predicted sudden jumps, explosions of life 'as if planted there with no evolutionary history' you might say?
Other than objective observation, we can also test the process, repeat the experiment, the algorithm of random change and selection, and it does not cause continual improvements and emergent properties that are not explicitly selected for , let alone cause computers to spontaneously develop sentience and ponder their own existence, ever.
it ultimately gets back to power of explanation
In a casino where a guy plays 10 royal flushes in a row, we only have evidence of a random card generator, which we know is capable of producing that result with the same probability as any other sequence of the same number of cards. We have no evidence of cheating, in fact the situation actively seeks to prevent it.
Yet we'd both determine that in this case 'fluke is too far out to buy into, so 'ID' must have something to do with it'
Because the tiny odds of fluke are easily overcome by the tiniest possibility of cheating. That's the power of explanation purpose has over nature, it does not need to rely on staggeringly remote chance to play strings of winning hands.