> I need you to know that this is not the case.
What is your source or qualification for saying this?
I know of several conservative groups that did infact hold or participate in protests against George Floyd's death in the days after. Pretty much everyone in them agrees, even now, that while the case is not quite as clear-cut as some would have you think, it was still wrong to kneel on his neck for 10 minutes after he was already under control.
The right-libertarian circles have been banging on against the militarization of the police and their unaccountability for decades now. Check out Radley Balko in particular, and the books he's written and the articles for reason.com. That's what conservatives saw this as.
Things did kind of turn over the weeks after. This was when the left's narrative that it was a racism problem took hold, the rhetoric escalated into "Defund the Police", and protests into some areas turned into riots and large-scale property destruction. This caused the right to de-emphasize those concerns and put more emphasis on the defense of the police.
Naturally, the Left is incentivized to dig up the most outrageously extreme version of those arguments and try to portray the entire Right as thinking like that. I do not know you or your ideology, but I suspect your source is Left-wing articles that seek to portray the Right in this way. If so, you ought to be aware that it's never a path to truth to view any group only through the lens of their enemies.