I'll offer one...
Imagine a new party, "freedom" if you will, organized from the ground up according to founding-like principles. Lets put our heads together and imagine our framers, as much as they were averse to factions and parties, had to come up with the organization and competing forces to make a viable party. They did so for the Constitution... and made it simple (and limited!)... same for the "Freedom" or whatever party. Should be organized simply, would emphasize individual liberty, and thus the individual within the party. It would work-in the foibles of men into its own constitution (small c) in such a way that it would promote its purity...
That had much wider appeal than either mainstream party by the simplicity of it's message. Boil the federal government back down to its constitutional purpose and remove all the social issues that divide us.
Would the Freedom party not allow Muslims, Gays, Abortionists, ex-cons, Hispanics, Jews, Blacks or Women? Why not attempt to draw them all in by suggesting the Federal government shouldn't be in business to distinguish the difference, and thereby, neither does the Freedom Party.
Abolish the FED, fire the IRS and the rest of alphabet soup of complexity. Establish a sales tax that requires no reporting of, by or for any individual. Require that the federal government is no longer involved in debates like abortion, same sex marriage, or any kind of marriage. State and local governments as well should stay out of moral or religious arguments.
Let Freedom rein doesn't need to include a Christian agenda as long as it recognizes the origins of America's founding that produced religious freedom as it's bedrock.
Word by word follow the U.S. Constitution and see how getting the fedgov back to something closer to what it was intended to be attracts.