is the bible consistent with the taxonomic biological classification system?

if so, where would the term “kind” fit? i want to be sure, because i’ve heard creationists refute claims of speciation, saying things like, “those are examples of birds turning into other birds, fish turning into other fish, and dogs turning into other dogs.”
to refresh everyone here, the taxonomic hierarchy is:
life> domain> kingdom> phylum> class> order> family> genus> species.
for the record, the terms fish and bird are designations of class. the term dog is a designation of a family. both are more general classifications of life than species, so to accept that any member of either of these categories can evolve into different species within those categories, is accepting something can occur beyond what most creationists refer to as “macroevolution”. is it not?

and insects…don’t forget it says insects have four legs

Birds & gray whales eat fish eggs

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