What will the Minoans look like today if they made it to the present age?

There are so many butterflies inherent in that. The answer is, we don't know, and there is no way of knowing. We know little about their culture to begin with, to chart it's development over nearly 4,000 years would be... quite the accomplishment.

You asked a question that could never be answered, good sir.
 
What would later greece look like if Minoans survived, that be an easier questions....

WOuld the culture spread to mainland greece? Asia minor cities? Colonies like Magna Greca and Sicilia?
 
Welp, you had to pick a culture we know almost nothing about...

Also, from a period subject to waves of migration and cultural shifts there were few cultures that survived intact till Classical Roman times, and practically none afterwards (at least in Europe).
Who would be these Minoans? People directly descended from Minoans that called themselves that name? A culture in Crete claiming descent from Minoan culture? People with a clear continuity with Minoan culture that no longer identified with 'Minoan' as a culture?

It doesn't help that we have almost no idea about the political structure of Neo-Palatial Crete and it's period we have the best evidence for. For all we know it was an oligarchical set of independent trading centres plus hinterland, or a partially centralised Kingdom. All we really know is its later reputation, that of being an important power due to its strong navy.
 

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The only thing we really know is that the Cretans were dominating the Aegean sea and that at least the Cycladic cultures payed tribute to them, and probably some Mycenean kingdoms too, but that power had probably waned in the Neopalatial period. Their culture is pretty much a mystery. We know Linear A is not Greek, and might not even be Indo- European, so cracking their texts won't happen anytime soon. Bulls seem to have had some form of importance, and there are guesses about some kind of important priestess. Some think it might have been matrilinear culture, but we don't really know.
 
The only thing we really know is that the Cretans were dominating the Aegean sea and that at least the Cycladic cultures payed tribute to them, and probably some Mycenean kingdoms too, but that power had probably waned in the Neopalatial period. Their culture is pretty much a mystery. We know Linear A is not Greek, and might not even be Indo- European, so cracking their texts won't happen anytime soon. Bulls seem to have had some form of importance, and there are guesses about some kind of important priestess. Some think it might have been matrilinear culture, but we don't really know.

There are theories that Linear A represents either a) Early Luwian, or b) a language closely related to Luwian. This has almost no evidence to back it up, and I don't think I agree with the hypothesis, but I'm just trying to contribute.
 
If you're referring to women's fashion, I sincerely doubt (unfortunately) that the bared-breasted dresses that we see on snake-handling women figures will survive to the present.
 
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