Why does Danforth want Proctor to see Elizabeth by the final act of The Crucible?
Eilzabeth is pregnant by this point in the story. It is only possible that this is John's baby. Even though John and Elizabeth's relationship has been rocky, having a baby together should be a joyous opportunity for them. This very information might not only give John a reason to live for himself, but a hope to live for two others: Elizabeth and the baby.
Danforth is hoping that this information can manipulate John into a plea. He wants to see John admit to witchcraft just to guarantee that John can continue to live. What Danforth does not realize is John's strength of character. In fact, I don't think John realized how strong he is. John ultimately makes a decision in spite of the fact that Elizabeth is having a baby, but it was certainly a position worth Danforth's time to have John consider. Any father would want to be there for his child especially when a previous infidelity had inhibited his relationship with the woman he loves.