The gospel is about invitation out of a bad situation. The entire point of the gospel story is that Jesus died in order to pay for sin he did not commit but that we did. Being the beneficiaries of grace, we are called to mirror that grace to others.
Many times these days policy is framed as a binary choice where we have to choose one way or the other. However, often this binary choice forces us into an inconsistency that undercuts our moral credibility.
One of the current tendencies in our culture currently is to be very tribal about our battles, whether politically left or right. What I mean is that the admission of any weakness is to be avoided as to not give space to the "other" side. This approach to engagement in the end is not helpful.
There is no Democrat or Republican in the third way. It is directed by the relational concerns of the Savior. So what does that work look like when it comes to relating to others?