I think this discussion is running into two underlying issues:
1. I think one of the basic problems with the films' and show's depiction of Hydra is that we don't really get a sense of their political agenda. We know that, like
a certain genetically-enhanced mouse, they want to Try To Take Over The World -- but like with the Brain, we have no real idea what they'd do with it, what the World According to Hydra would look like, except insofar as we get this vague sense of their being fascist due to the presence of pseudo-fascist iconography and their origins within the Nazi Party.
As stated in the movie, the goal is essentially a totalitarian peace.
To what end? Totalitarian states are usually established to serve a particular ideological purpose -- Nazi Germany to enable domination by Germans over non-Germans according to the "leadership principles;" Soviet Russia to enable the transition into a stateless realm of history while surrounded by hostile capitalist states; Pinochet's Chile and the junta in Argentina to beat back socialism and preserve capitalism.
We get this vague notion of "peace through order," but that's a goal
all totalitarian states have. Their order is usually one modeled to serve a specific ideological agenda; we still, in other words, don't know what that agenda is for Hydra. It's a given that all totalitarians believe that the world would be better if everyone simply accepted the totalitarian state, but what do they believe in beyond that?
2. I for one find it highly implausible that an organization that literally grew out of the Nazi Party could possibly not be fundamentally racist in nature. Fascist movements are essentially based on the psychology of tribalism; they fetishize the "in group" and try to create a sense of both superiority to, and beseigment from, whatever "out groups" the in-group is set against.
The "in group" is HYDRA. They trust HYDRA and distrust everyone else.
I don't think that works when you look at the foundational psychology of fascist organizations. Fascism is about taking a pre-existing in-group and exalting it above all others, and the fascist organization itself usually functions as a kind of "vanguard party" for the in-group on its natural road to domination.
This definition from
fascism's Wikipedia page is probably the best concise definition I've seen: "a form of political behavior marked by obsessive preoccupation with community decline, humiliation, or victimhood and by compensatory cults of unity, energy, and purity, in which a mass-based party of committed nationalist militants, working in uneasy but effective collaboration with traditional elites, abandons democratic liberties and pursues with redemptive violence and without ethical or legal restraints goals of internal cleansing and external expansion."
So nationalism/racism is inherent in the fascist mindset. There's really no such thing as a fascism that isn't intensely nationalistic; for Hydra to work in America, it would almost certainly have to have assimilated American nationalism into its ideological framework.
It's probably better to think of HYDRA as Nazi-allied rather than from the Nazi Party. While it was certainly created by Schmidt, he eventually rejected even Hitler.
The problem is that
Captain America: The First Avenger explicitly described Hydra as a wing of the Nazi Party. Schmidt may have eventually rejected Hitler, but that just means
he wanted to be führer; nothing about this implies a rejection of Nazi or fascist ideology per se.