This is a familiar question among scientists. Some people may ask it in a different way- "Is God left handed or right handed ? This questions are often motivated by seeing a preferred handedness in most of the natural systems that we observe including the handedness of galaxies and even the spin of the elementary particles.
But i think the answer to this question depends on to whom you are asking to.
Physicist will probably say that nature is left handed. Because no right-handed particles (in the limit of zero mass) have ever been observed
Biologist can only say that nature is right handed, Because both the coding molecules (i.e the DNA) and the working molecules (peptides and proteins) of life are right handed.
But if you ask a chemists like me, we will say nature is ambidextrous. Because we can make both.
Chemists are always right. So we chemists are right probably. What you think ? If you have any other opinion please give a comment on it.