There are two individual claims, that should be inspected individually:
1. Data from the field showing warming up / other real world observations. I'm not disputing this. This has been corroborated by many different methods without any clear single point of failure.
2. Given 1, what is the probability that the reason for the observed effects are CO2.
This is the crucial policy question, and the problem is that the evidence for 2 is actually purely from these models.
It's easy to take the conjunction fallacy here and immediately jump to 1&2 being more probable than 1 alone, but it's wrong thinking.
The problem is only magnified, in my opinion, by the fact that only few parameters have even had the same kind of detailed analysis that CO2 had. And then the code has clear bias towards the narrative, and the forcing of CO2 in the model is extremely detailed in the parts where the narrative says it's important (radiation forcing) while neglecting many other effects, and taking various things that actually depend on CO2 to be constant.
And finally the problem is that the policy decisions are the complete opposite if 2 is wrong: if we're heading towards more chaotic weather and CO2 isn't the culprit, you would want to rely on fossil fuels instead of the weather (a.k.a solar and wind) for energy.