I'm writing a story that takes place mostly on Minoan Crete under the reign of the mythological king Minos. Now I know that the Minoan civilization got its name from Arthur Evans who named them after King Minos, but I have roughly narrowed down the time when the myth of Theseus and King Minos was suppose to have taken place, which is around 1200 BCE. Why would Evans name an entire civilization that lasted from 2000 - 1450 BCE after a mythological figure that "existed" 250 years after their collapse? That would make King Minos a Mycenaean.
Minoan Crete and Myceneaen Greece are not contemporaneous. It would be unwise to use mythology as a definitive guideline for historical events without considering other factors. What we know about the two periods highlights significant contrasts: Minoan culture was much less martial than was expected given the time period, whereas Mycenaean Greece was a period of near-constant strife.