Perry, carrots share genes with humans. Chimpanzees share 98% of our genes.
That percentage you mentioned, irrespective of its numeric value, is sufficient to establish a marked difference. The percentage that you cite is not quite that much, it's actually 99.7%.
As far as genetic differences amongst modern Homo Sapiens we have diversified a lot, more so than the small population of Neandertals who were genetically bottle-necked and somewhat inbred.