I think it would be better if the reveal was split in two, the first part, during their battle in his chamber and then the second in the hanger. That way you have more screen time to better pace out the dialogue with footage.

Kylo’s chamber -
*Rey holds the dagger
Kylo:“Rey, you’re hard to find”
Rey: “You’re hard to get rid of”
Kylo: I pushed you in the desert because I needed to see it, I needed you to see it, who you are, what you did. (this can be taken from Poe’s interrogation in TFA).
Rey get’s angry: “You’re lying”
Kylo: “I never lied to you. They sold you, because they feared you”
Rey: “don’t!”
Kylo: “You remember more than you say, I’ve been in your head”
Rey: “I don’t want this!”
Kylo: “Search your memories”
Rey: “No!”
Kylo:" remember them, see them! "
-After Rey blew up Chewie’s ship she sees a vision of her parent’s ship exploding. Now her entire memory is restored, after years of blocking it out, she sees her young self elecetricuting her parents ship, with pure rage until it explodes.
Cut all exposition about Palpatine taking her parents, cut straight to them braking Vader’s stand.
-Close up of Kylo and Rey clashing blades.
Kylo: “It was you that destroyed the ship, You killed your parents Rey, you are no better than me.”
Rey: “No…”

Next time they meet on the hanger he can tell her about Palpatine grooming them and that they are a dyad etc etc.

That’s how I would have gone about it ^

I agree with Rogue on the dubbing. The tone and emotion of the voice is just not what is needed in that situation. Maybe someone here has a good Driver impression, with some good voice modulation I think we can work the dialogue pretty smoothly into a Rey-nobody edit.