Socialism

No. That's not true at all. Liberalism is a philosophy that centers power on private property whereas conservativism centers power on a sovereign monarch. Under liberalism, private property is the center of power, and that included chattel slavery. Liberalism is the doctrine that allows you to kill people for trespassing on your property. The logic of liberalism is that every square inch of the universe will be owned by someone and if you own nothing then you can die. Under liberalism, it is better that the homeless die than the state truncate the right of land owners in order to redistribute available wealth.

Liberalism is the philosophy that brought us enclosure. It's the philosophy that brings us private military contractors. It's the philosophy that brings us labor exploitation in factories.

Marxism is inherently ILLIBERAL. Marxism explicitly opposed the existence of private property. Leftism in the modern era is anti-private property and therefore it is illiberal.