I'm always confused when people use the word "liberal" in english.
In french it means you support liberty. Of all forms. And that of course means supporting a free economy, free speech, free import/export/immigration/emigration, free social life (the government doesn't tell you what to do with your penis), free religion, church/state separatism (shame on you americans, SHAME ON YOU AND YOUR BACKWARD BIGOT COUNTRY).
So yeah I'm definetly all of the above. I think I'm more like a libertarian in american english words. But there's one big difference though. I do not believe in a strict non-interventionist government. There inevitably exist natural monopolies/oligopolies such as gaz, electricity, telecoms or postal service. Those sectors, even with the best goodwill, will never develop a healthy competitive market, and will also inevitably end up being semi-governmental monsters, with all the corruption you can think of since both are dependant of each other. Other sectors such as education or heathcare have to be somehow guaranteed because they form the basis of society, so they have to be at least partly linked to the government.
Communism is an utopy that proved not to work. And it doesn't work for a very simple reason. People are selfish. And you can't change that. Maybe they aren't selfish with their family and friends, but extremely few people will wholeheartedly accept to give what they earned through their work to such a distant being as "all the other people". Everybody cares about whom they know, but not about the others.
Capitalism doesn't really push society towards equality, but it does work. You can be any type of person, you cannot cheat a capitalist society into not working for the rest of the people.
Also, it is arguable that through working, a capitalist society will increase relative inequalities, but also increase the quality of life of the poor a lot more than that of the rich. Say, being a hobo in Swaziland, you die. Being a hobo in Las Vegas, you can have a decent life. In the 70's the crisis in europe resulted in some of the middle/low class having trouble to buy food. Now the same people are whining they can't buy a smartphone or go on vacation. It's because the prices of general consumption goods are falling that the economy gives numbers showing inequalities, not that "the poor become poorer" as I often hear.