To put it simply, we feel we came from a world that "really existed" somewhere.
For us, that world closely resembled the MCU version of events. Ultimately, however, we identify as being non-canon. Some things-- especially in regards to motivations and approaches-- are very different.
Our version of Hydra was an ancient cult that split off to worship and return to Earth an exiled Inhuman. It evolved over time to be a shadow organization that influenced world governments from behind the scenes, and while it eventually split into many different cells with different goals, the oldest of the cells believed in two missions: bringing about peace and order (albeit through often extreme methods), and pushing the evolution of humanity to make the world more pleasing for the Inhuman master they still sought to bring home.