It is essential to look at the big picture - if the Bible is correct (and we must work on this assumption if we are discussing what the Bible means by 'kinds' then this means that the earth is around 7000yrs old.
The Biblical account is easly and internally (as well as externally) disproven. What color was Jesus's robe? How many men did Joab report to David? Where is the water above the stars? How does 1*3.14=3? Did Judas impale himself or hang himself? Why is there no evidene of a global flood? Where did the water go? Where are the storehouses of hail that God uses in time of war? Where are the corners of the Earth? Where are the pillars that the Earth stands on? How come the Bible says that the Sun moves through the sky to cause day and night (and can stop and be reversed) when it's acutally the Earth spinning? How did 20,000,000 species (acutlly 100 times that based on the apparent record) fit on a boat bigger than is possible to do with wood?
In short, a literal Bible is simple to dismiss as mythology which has little to no relationship to reality.
This then means that all the fossils had to have formed since the earth was created - the Bible teaches a Biblical flood, so it is safe to assume understanding the fossilation process that this would have resulted in fossils. So the majority are probably as a result of the flood according to the Bible.
Runs contrary both tot the stratification of the fossils themselves, and to the complete and utter lack of evidence for or a mechanism allowing a global flood.
You might as well say that faries placed fossils there, at least it's not *inconsistant* with the physical evidence.
Is it therefore possible to define a kind? No it is not yet possible, nor likely ever will be.
Whcih makes it counter-intuitive and simply dishonest to use.
The only way a 'kind' could be defined would be at the genetic level.
And the hypocracy appears. First you say "I can't define it", then you start defining it.
Why must it be defined genetically? Why couldn't it be based on what the faries preferred? Maybe they "kind" is defined by color, maybe there were only 5 kinds (red, orange, yellow, green, and blue) and after the ark the faries mixed it up... perphaps, as the faries were busy transporting land animals across oceans (oddly, only to places that the lying old-Earth geology said were once connected or close (notice the lack of indeginous, terrestrial mega-fauna in Easter Island and Hawaii)) they started divying them up (turning the brown kind into dogs and horses, while turning the yellow kind into lions and birds) and then maybe even modified the colors.
It's just as physcially evidenced as your position.
Thats as much as I can dumb it down for you. Perhaps you should get a textbook on ridometric dating and understand the physics underpinnings that control decay rates and how that effects electron fracture dating, or a basic understanding of an electro-magnetic dynamo, and how the magnetic alignment of the Atlantic ocean can be used to determine its age (as can the modern rate of expansion, as can the afore-mentioned radio-dating method). Unfortunately, you are just too uneducated in the matter to understand it it seems. Perhaps, like I have, you should grab a degree in Engineering or geology before discussing the age of the Earth.