> QI doesn't protect the government, you can still sue it for violating your rights.
Sure, QI doesn't protect the government, but sovereign immunity does.
> QI protects agents of the government, you can't personally sue a cop for violating your rights.
Yes, you can. And you can win in some cases. But, if they were within the scope of non-discretionary job duty, even if illegal, though, they are protected by absolute immunity, if their act was an illegal exercise of discretion but not within a pattern unambiguously previously litigated as such, they are protected by qualified immunity.
> You are correct that QI was a legal fabrication
It is no more or less a “legal fabrication” than, say, the exclusionary rule.