No group wants to own the shooter. He does not represent the conservative right despite his family, I'm sure you agree on this.
The left also does not want to own him. You can point to vile online posts but if you actually look at Democrats in government or progressive influencers, the vast majority is condemning him. They are hating on the right like always, which is different than saying Kirk deserved to die
The point is that both sides are highly motivated to disown him.
You are listing data points that are collected by the right, but you omit the data points collected by the left and say the case is shut, no need to look further. In reality, the guy's politics are clearly complicated and irrational
Which datapoints scream right wing to you?