Words to live by, OP, "scratch a liberal and a fascist bleeds"
Fascism, a far right wing ideology, is often described as "capitalism in decline," and is what happens when capitalism desperately clings to any hope of maintaining itself, normally by calling itself back to some mythologized, fictional version of a perceived golden age.
Its also worth noting that we use the terms left and right to described to describe relative position within the overton window (the narrow stretch of "acceptable" politics within a given society) of our current politics, as in, biden is left Bush is right, et cetera, but in a larger view of the political spectrum both the democrats and republicans are right wing parties. There isn't an objective defintion of who is left/right, but for a lot of people, the dividing line is capitalism itself. If you support capitalism, you're right wing, if you're a socialist, communist, or anarchist, you're a left winger. If, by some miracle, capitalism were to die out tomorrow and every country was some flavor of socialist the dividing line would change to some new metric, and x would be left while y would right. It's a short hand expression not a hard and fast rule.