Despite the names, both parties are classical liberal parties, with only slight policy differences. The neo-conservative party looks unpopular but it's counties are densely populated. Western New Galilee, for example, is the most populated county with 8 electoral votes. Policy differences: The Libertarian party is a lot more pro-4811 than the neo-conservatives. The Neo-Conservatives are ever-so-slightly more authoritarian The Libertarian party is big on establishing technocratic congresses, while the neo-conservatives are more hesitant. The founder of New Galilee is the Libertarian candidate, while the current prime minister is the neo-conservative candidate.
I guess we are a commonwealth, because we have two states: New Galilee and the White Rock Lands.