Hahaha, boy oh man.
Truly, I don’t have a problem with Kylo wanting to goad Rey into helping him kill her. To me, I can infer the dyad thing Kylo drops accounts for things well enough. (It’s stupid, but at least the nuts and bolts of the “logic” check out.)
The more I think about it, I think just removing “[and] me [on the throne of the Sith, Finn]” and “We’ll kill him together [and take the throne]” would work just fine. Kylo stokes Rey into wanting to kill Palpatine by dropping some knowledge about her parents, and then tries to cash in.