By reconciling these values and principles, we can bring together people whose allegiance to truth is stronger than their biases. This could be of great value to both parties, partly because any new party that wants to break into a two-party system has to appeal to a broad spectrum of voters. But even more importantly, each party needs attributes the other has to offer. Libertarians need the intuitive awareness of the Greens to keep them from losing touch with people's real values, and Greens need the analytical prowess of the Libertarians to keep them from indulging in emotional self-deception. Libertarians can teach Greens about the spirit of enterprise and the wonders of economic freedom, and Greens can teach Libertarians about the spirit of compassion and the wonders of community cohesion.
Reconciliation is absolutely necessary.
Even if one of the parties could rise to power, it could do great harm by implementing its current agenda in disregard for the perspective of the other. Moreover, proposals that violate values and principles of one party often violate those of the other. If members of both groups come together to discuss each other's proposals, they are likely not only to find areas of agreement, but to find conflicts between each group's proposals and its own principals. If this happens, and the two parties work in concert, they stand a real chance of overtaking one of the major parties and drastically altering the political power structure. Many third parties have had important impacts on American politics, but the last time a political party was dislodged was when the Republicans knocked the ailing Whig party out of contention over 130 years ago.