Maybe, but human domestication is distinguishable from natural processes. No one believes that chihuahuas simply “evolved” in the wild.
You are using a definition of “evolutionary mechanisms” that is so broad that it is unfalsifiable. Your “evolutionary mechanisms” include human-guided breeding programs.
Common descent is also squishy term. Is there a “gap” between domesticated wheat and GMO wheat? They have common descent, but one was separately created in a laboratory through ID.
What about a species that carries a transgenic mutation delivered from a non-interbreeding species via a virus? The affected trait is not due to heredity and the receiving organism is suddenly “created” and is “gapped” from its ancestor - even if you can’t tell from a fossilized bone or shell.
ID does not claim that separately created species are completely unique from similar species.
Well, then you can’t falsify ID. And you also can’t distinguish whether “gaps” are due to the erasure of the evidence of intermediates by time or due to non-inherited mutations and gene transfer or due to theistic domestication or theistic GMOs. You know something about what happened, but you can say little about why it happened.
Determining whether any free-running generative process is being “guided” comes down to figuring out whether the outcome is specified or unspecified. If the Creator wanted to get humans from the start, he would have to have guided the process. If humans are a specified outcome, then the process was guided by the Creator. That’s fairly provable. Run the “experiment” again and you won’t get humans again without intervening. With enough intervention, you can get humans many times. That’s at least a falsifiable argument.
The problem is not with ID or gaps, the problem is starting with the premise that there was no intervention by intelligent agency, and therefore, humans are an unintended outcome, a random result. One can believe that, but it is less likely to be true than that humans are the intended outcome of intelligent agency. So, the un-guided emergence of humans is simply mostly likely wrong, but with a very small chance of being right. Relish in that, because that’s the whole reward right there, that very small chance of being right.