I think the rising attack by self-described « leftists » on Jung as an ideological foundation for the « alt-right » is itself an ideological symptom.
Jungians are far more practice-oriented than theory-oriented and so they tend to speak the discourse of the analyst, whereas the leftist critiques come from the discourse of the university.
Thus Jordan Peterson’s appeal despite his theoretical lacunae and one-sidedness and his increasing vehement right-wing political discourse and interventions (not to mention his near total ignorance of the « post-modern » thinkers he vociferates against) stems from the register of analytic experience and its non-intellectualising practice of concepts.
There is no inherent link between Jung and the right. Deleuze was a Jungian, and so was Guattari to a large extent.
The key concepts of Jung are individuation, transformation and becoming, not universal structure.
Nor is there any inherent link between Lacan and left-wing politics. His own right-wing origins are well-known, and they continued to influence his theoretical, analytical, and organizational decisions. His choice of Miller over Guattari was a (regrettable) political choice.
French philosophical Lacanians are an intellectual embarrassment, whose ideology is to be critiqued rather than imitated.
For example, Badiou is Lacanian out of sheer intellectual laziness. He did not investigate all major contenders for a theory of the psyche and then choose Lacan. He just absorbed the most powerful psychoanalytic ideology in the ENS and stuck with that.
Badiou came to pluralism late in his intellectual development and has been very slow in thinking through its consequences. Hence the contradiction between the conceptual creativity of his BEING & EVENT three-volume project and his regressive psychoanalytic affiliation.
I study Badiou (quite a lot) despite his Lacanism, not because of it. The same goes for my study of Zizek.
Lacan’s own conceptual creations should not be converted into an exclusivist ideology, nor should Jung’s. We are all post-Jungians now, whatever we may think and say. Zizek is a striking example of this phenomenon of conceptual denial. In the same way, we are all post-Lacanian.