A lot of what we know about the Minoans is derived from artworks and archaeological. For example, we know that Minoans used to practice a sport which involved jumping over a bull:

http://0.tqn.com/d/ancienthistory/1/0/Y/j/2/Knossos_bull.jpg

We know that they were not a pacifist society, because scenes of war and images of warrior were present in their art:

http://www.pasthorizonspr.com/wp-content/uploads/2013/01/cup.jpg

Through artwork we can guess their fashions and hair-styles:

http://www.ancientgreece.com/media/img/Minoan_Queens_Fresco.jpg

The biggest obstacle is that we have yet to decipher their language which was first written in Hieroglyphs and later Linear A. Unless the Minoan equivalent of a Rosetta stone if unearthed, I don't see that changing.