Socialists support the economic left and the social left, they want laws that make people treated equally and economics that have more regulation in making markets fairer. They think that the system is to blame for people who are unhappy and they believe that changing the system radically to equalise opportunities and redistribute excesses made by people who get ahead based on luck of birth or knowing the right people will maximise happiness.

Taken to extremes you can get sent to gulags for being too different, for not conforming. Can be corrupted towards hive mind like issues. The state having a lot of power can lead to corrupt party leaders being effectively like an oppressive upper class.

Conservatives think markets are more effective unregulated. They support capitalism and they think that changes should happen slowly and be tested and should not interfere with institutions such as families, churches, the police. They think authority is important, and see individualism as being the salvation of humanity, that the natural order is that you must try hard and be strong, and if you didn't succeed then you didn't do that, not that there is a systemic failure, but that you had a personal failure.

Taken to extremes you have a feudal system where society is class stratified and people are labelled by their place in a hierarchy and are considered to be of different values depending on their class.

Liberals are also economic hands off types. They also support capitalism, like conservatives and they think many of the same things about economics as conservatives do. They generally like the idea of government getting out of the way and they focus most on freedom from things that limit people as a theme. They are much less authoritarian in tendency than the other two typically because of this, and have a better track record on privacy. They are more strongly in favour of open borders, trade and internationalism. They agree with socialists on a lot of laws regarding social rights, because they think that people should be free to be who they are so things like anti discrimination they share with the socialists.

Taken to extremes you have a government that does little for its people, massive immigration issues and little to no consideration to trying to structure the anarchy of raw human direction with everything being left to a hands off wisdom of the market forces, which also likely degenerates into the powerful rich dominating the rest.

So ultimately the conclusions I have drawn are that buying into any of the philosophies or parties wholesale is bloody stupid, and that actually an effective politics would be one that recognised that its more complex than any of their core assumptions these ideologies make about humanity allow for... Therefore the best political system would be one that takes the strong points out of each ideology and implements them in bespoke complex nuanced solutions per area of government.

Oh and that which ideas are most utility will depend where the drift is in current politics.

Currently we have been drifting to the right economically increasingly since the 70s resulting in massive Inequality economically speaking.

Social rights have been moving the right way for the most part, kept in balance between giving people more fairness but not too much overall pandering to the point of sheltering people from personal difficulty so much they never develop the ability to cope.

And the relationship between government and people has become increasingly authoritarian and invasive of citizen privacy due to the deliberate exaggeration of security risks fear mongering.

Consequently at this point in history I would put labour broadly in charge of economics and the nhs, the lib dems in charge of security, police, spying and trade, and make all three parties have to come to mutual agreement on social rights issues.