If morphology can be used to reliably infer relatedness in the Cat "kind" for example, why can the same method not be used to infer that cats are more closely related to canids than artiodactyls?
Because they are totally different
kinds! You atheist evilutionists just will not get that straight.
Dogs don't give birth to cats and neither of them give birth to giraffes.
OK, so there was a common ancestor between cats and dogs in the miacids some 30 million years ago and there was a common ancestor between this cat-dog miacid and the giraffes in the protungulates some 30 million years before that ...
but
... this was all
well before the creation so it doesn't count!
So no more of this satanic morphology stuff. God hates it.