What is the Christian way of reconciling these?
Like
@RJM, I've always seen is as a 'spirit and letter' thing.
There's an essay on
the interpretation of Peter's vision in Acts 10 which argues that the vision in the dream, of the food being laid on the sheet, and the word of God "That which God hath cleansed, do not thou call common" (Acts 10:15) Peter interprets to mean the gentiles, not the food, in that gentiles were seen as unclean.
The essay argues that the Law is not abrogated, but rather Christians interpret it to mean both the gentiles and the food – thus by extension the law. He cites both Christian and Jewish scholars who say this is reading into the text, and the correct interpretation is that the vision was about the gentiles, not about food, and made sense once Peter found Cornelius being baptised by God at Caesarea.
Further, there was at the time – Paul seems aware of it – Jewish mystical speculation that, at the End Times, the gentile would be called to the Covenant in God. One can reason this – if God is God then He is God of all, and it's a tough God that promises everything to the Jews and consigns the rest of the world to perdition!
And
@RabbiO can correct me on this, but I'm pretty sure the Laws of Isreal called the Jews to a love of neighbour in its broadest sense?
Also, of course, as a good Jew, you can't help wondering on the justice of a law that seems to condemn people who may be gentile, but are clearly honest, good, God-fearing folk!