That aside, there is a mathematically well-defined sense in which Weyl fermions are the most "fundamental" fermions: the other kinds you hear about, Dirac and Majorana, can all be written as combinations of Weyl fermions. To make a Dirac, you take two Weyls of opposite helicity and couple them with a common mass term. To make a Majorana, you impose an additional algebraic condition on the two Weyls (take the complex conjugate of Weyl #2, reshuffle it a bit, and you get Weyl #1).
The most significant thing here is the mass term. When you look at the equations, it's immediately obvious that what the mass term does is mix the two Weyls in a Dirac: even if you prepare a pure state of one Weyl, as soon as you set the clock ticking, the mass term will turn it into a mix of two Weyls... unless the mass is exactly 0.
So a less mystifying way to describe the achievement of "making Weyl fermions" is simply "making massless fermions".
[1] http://www.nature.com/nphys/journal/v10/n11/full/nphys3104.h...
[2] https://en.wikipedia.org/wiki/AdS/CFT_correspondence#Applica...
The chance that the smartest person in the world is just smart enough to understand exactly how the universe works is very unlikely considering understanding of the universe has never been under evolutional selection. We are going to have to wait for the Singularity to tell us how it really works :)