Left wing = equality. Right wing = hierarchy. This is the only view of the political spectrum which makes sense

Viewed this way, the link between open borders immigration and socialized medicine is obvious. Open borders is equality between resident and foreigner; socialized medicine is equal(ly bad) access to health care.

NatSoc is right-wing, despite its socialism, because of its hard emphasis on racial hierarchy. Libertarianism is right-wing, despite being ghey, because of its insistence on accepting the hierarchies which result from laissez faire markets and freedom of association.

As can be seen from those two examples, there is no coherent "right wing" as a whole. There are many ring wings because there are many mutually exclusive hierarchies that are esteemed by various right wingers

By contrast, the various flavors of leftism differ mostly in emphasis (which types of equality are most important: race, sex, economic, etc.) and on tactics. Behind those disagreements is a shared vision. The left is inherently more cohesive than the right.

If you have N pennies that you are dividing among M jars (where N modulus M is zero), there is exactly one configuration where all the jars have an equal number of pennies, but countless unequal configurations

The right-left political spectrum is a sphere, not a line. At the center is the left singularity: the closer you get to it, the more left wing. Right wing is away from the center, in any direction.

The above discussion is about left/right in the abstract; practical politics can muddy these categorizations. For example, left-wing ideology is often just an excuse to plunder; as such, it's common for "leftist" policies to be driven more by greed than egalitarianism.