Hybridization: Note this is an additive criteria
If an organism can hybridize with another organism -they are the same kind.
If that other organism can hybridize with yet another organism -they are all the same kind.
If that organism can...etc.
Note that if an organism can not hybridize with another organism this does not mean they are not from the same kind, this is because this ability may have been lost through mutations etc.
This discussion applies to sexually reproducing animals.
Since every one of your hybrids is just another decedent in a long line of ancestors and decedents, wouldn't your definition tend to put all of the tree of sexually reproducing life into being the same kind? The "sexually reproducing animal kind".
I guess a second kind would be the "sexually reproducing plant kind".
Not a biologist,
Moose
Edited by Minnemooseus, : Add a word.