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Pick your favorite character in the MCU....whoever it is.
Guess what...they werent responsible for any of their decisions. Not one. Kang was.
No. Kang let them do (again) what they had already done.
If we transported to NYC during Loki's invasion now the "kang allowed" Avengers actions would be actions that were already done by some version of the Avengers.
Kang does not make up their actions. He picks from the actions and decisions that they have already made (seen from a time agnostic point of view).
So yeah the Avengers were responsible.
Kang just made sure that the Avengers kept following (more or less) their own original decisions and actions the 2nd, 3rd, 4th, nth time around.