Good lord. I’m asking you to disprove anything he said. You can’t because nothing he said is false. He didn’t include “conspiracy” at all.
He presented information and the audience can treat them all as separate facts about immigration and democracy. That’s it.
Why do you consider this an issue? He can function in a shit operation like Fox because there is no responsibility to produce truth. You say he can say whatever he wants because the network and audience approves and that makes whatever he says OK?
This is not journalism, or even responsible editorializing. There is responsibility in producing a product that does not harm the public good. If a network produces untruth and falsehoods that's bad enough, and subject to protection by litigation. Carlson is being accused of pushing rhetoric beyond this, possibly inciting racial attacks.
I don't know if this is case, but he is inflammatory and has a radical, even vociferous element within his audience. If his behavior on air is deemed threatening to public safety, he will be sanctioned.