The Kuzari begins by disproving Aristotelianism, Christianity, and Islam, after which it proves Judaism.
The Kuzari's disproof of Christianity is essentially as follows. Seeing is believing; if you can prove to me that G-d appeared as a fetus in a virgin and went on to found Christianity, that would be one thing. But you've only made broad claims: you have not - cannot - prove to me that Christianity is true, and therefore I must continue my search for the truth elsewhere.
This proof suffers from the obvious problem that a lack of proof for is not a proof against. Do any other Jewish works offer a proof that Christianity must not be the truth, regardless of whether you accept that Judaism is?
This question discusses specifically proofs for Judaism. As this is a disproof for Christianity from a Jewish perspective, I don't see how it could be a duplicate. I am not sure, however, whether this would be considered comparative religion.