No, because even the Bible makes distinction between Ravens and Doves. He brought both of those Kinds onto the Ark - to reproduce their Kind after the cataclysm. Otherwise Noah could just have brought Doves. So IMO classifying all dinosaur as one Kind, would be like classifying all birds as one Kind, even if God made sure Noah brought one of Dove and Raven. Now all Finches may be of one Kind, etc, of this I would agree by the fact they can all interbreed. And some that may have lost that ability due to isolation etc., does not make them a different Kind, as long as it is obvious they came from the same Kind. Example house-cat and Jaguar. Both clearly of the Felidae Kind.
The distinction between Kinds is fairly clear. Although Dove and Raven share many similarities - they are each a distinct kind, which is why at least a pair of each was brought. Now other dove-like birds may be of the same Kind - as well as all raven type birds, etc.
EDIT" Anything else would be that a-priori assumption for either side kicking in.