No, since nukes are clearly Conservative. It'd have to be a liberal WMD. Like bombing the populace with leaflets printed on recycled paper, from a plane that runs on coconut oil.
Now, an economic victory could be interesting - we already have a political victory where an arch-liberal government gets elected and passes liberal law reforms. This kind of implies that an economic victory doesn't need the actual LCS running the economy, any more than the LCS runs the country in the political victory.
The economic victory implies that the current status-quo is overhrown for a "liberal" replacement to capitalism. To really model this, we need a system in place which is the economic equivalent of the election-cycle and laws part of LCS. e.g. modelling the top companies, income inequality, number of co-ops and collectives, etc.
This would all be best if it interacted with the existing political system - game corporations are directly modeled, and have named CEO's, just like the president. The economic victory is when all corporations have liberal CEO's, high wages and low income inequality between workers and management (workers paid their true value). corporations would spend money to influence politics to the benefit of their corporation, and be actively involved in backing up the CCS etc.
This way, there would be 2 avenues to liberalize the economy - affecting the political public opinion to get legal changes, and directly protesting / picketing specific companies.
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I think focusing on a specific market sector could be good to bootstrap a system for this: I'd pick the health system first of all. At full conservative the health system is all private providers, expensive to get into a good hospital, no free clinic, very expensive tuition and untrained quacks able to legally practice medicine "free market style". As it becomes more liberal, tuition cost falls, free clinics and improved regulations put the quacks out of business, and eventually the system becomes a full public health system.
The difference in actually modelling this as companies rather than just laws, would be that the HMOs under conservative rule would actively seek to shift the laws, undermine public health and free clinics, whilst jacking up tuition to maintain their monopoly pricing, and undermining regulations so they can provide shittier service - thus opening the doors to the low-price quack doctors.
This would add a few new things to the game - you'd have the Free Clinic, Quack Doctor, Private Hospital, and Public Hospital (plus the Health corporation CEO's mansion) as different locations which appear or disappear depending on the laws.