Ok how about chimpanzees and humans (only a few percent genetic differences). If you are looking for an example on the verge of a split, I would say look at dogs and wolves. Was there a certain percentage of genetic differences you are looking for?
I will respond to all carbon/radiometric dating below but I just wanted to point out that carbon dating is actually considered valid for up to 50,000 to 75,000 years, not 11,460 (that's only two half-lives).
Nice copy and paste from http://www.christiananswers.net/q-aig/aig-c007.html. Still these are valid but I think you overestimate the innacuracy such factors can introduce. Fossil dating is done through numerous methods other than carbon/rediometric dating including:
dating against objects with a known age
cyclical sedimentary deposits
glacial cycles
coral cycles
tree rings
luminescence
Now you can attack the possible innacuracies in any of these methods as you did with radiometric dating but when mulitple methods give consistent answers, eventually you gotta think it's more than coincidence.





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