Strictly speaking, all liveforms on the planet share same genes because they descended from a common ancestor. You probably have 50% of common genes with plants and quite a few with microorganisms.
it sounds like quite a stretch to say everything shares the same genes. A lot of the genes have come into existence long after distant species split apart, and other genes have disappeared from one specie while continuing in others.
Really? Surely this claim would require the sequencing of the T-Rex genome, which I'm guessing is an impossibility.