I would say that the Republicanos are the moderate party, and at least lukewarm towards laissez-faire, considering that I am a devout liberal, and Senor Rivera is a more centrist conservative, as opposed to the diehard revanchist Nationales.
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As for the parties being free-market or anti-free-market, the liberals have always supported laissez-faire, with the Partido Liberal, Partido Radical, Nuevos Partido Liberal, and the Partido Republican under my father and Cortez supporting it. Under Romano, Gogolow, and Rivera, we had interventionism, and during the Empire, we had state capitalism. The Fascist Republic is odd, due to it being more or less state-capitalist, while having a free-marketer as Treasury Minister.
So judging for the past, the parties will probably be like this:
Liberal: Laissez-faire, Free trade, Pro/Anti-Military, Pluralist/Secularist
Republican: Laissez-faire/Interventionist, Free Trade, Pro/Anti-Military, Pluralist/Secularist
National: Interventionist/State Capitalist, Protectionist, Jingo/Pro-military, Moralist
FNT: Interventionist/State Capitalist, Protectionist, Anti-Military, Secularist
Comunista: Planned Economy, Protectionist, Jingoist/Pacifist (depending on how Stalinistic it may become), Atheist