Mythical Basilisks. In Medevil mythology, the basilisk was called the king of the serpents. In confirmation of his royalty, he was said to be endowed with a crest, or comb upon the head, constituting a crown. The basilisk could kill at a distance with a glance, was endowed with wings as well.
Basilisk Lizard. Four known species of basilisk exist and are distributed from tropical Mexico down through Central America to northern South America. Basiliscus vittatus, commonly known as the Brown or Striped Basilisk, is found throughout southern Mexico, parts of Central America, and into Colombia. Basiliscus basiliscus, the Common Basilisk, is distributed throughout Central America and Colombia. Basiliscus galeritus, the Western (or Red-headed) Basilisk, inhabits western Colombia and Ecuador up through Central America. Lastly, the Green Basilisk, Basiliscus plumifrons, is resident to Central American rain forests in Panama, Costa Rica, and Nicaragua.
The basilisk is also called the "Jesus Christ lizard" because of its ability to walk on water. It supporting itself by the unsteady hydrodynamics as it strokes its rear feet through the water, opening up a ventilation pocket so that it can extract its foot without dragging it through the water (http://rjf2.biol.berkeley.edu/Full_Lab/FL_Personnel/J_Glasheen/Bas.allom.abs.html).
So, why Basiliscus? What better mascot for a hydrofoil than a lizard that can run on top of the water? What better racing persona than the King of Serpents, from whom all others flee at the sound of his hiss, and who can fly and vanquish his adversaries at a distance? And since the common basilisk is named Basiliscus Basiliscus, it's the perfect name for both the boat and its class!