The only genetic difference between men and women is that men have 1 Y chromosome and 1 X chromosome on their sex determinative chromosome.
The Human Genome
The human (Homo sapiens) genome is stored on 23 chromosome pairs and
in the small mitochondrial DNA. Twenty-two of the 23 chromosomes
belong to autosomal chromosome pairs, while the remaining pair is sex
So there are a total of 46 chromosomes on the normal human. Any 45 of them can be shared by men and women and only 1 belongs to men only. Simple math (1/46) says that the difference is < 2.2% if 100% of the Y chromosome is unique to the Y chromosome and the number of genes on each is roughly equal.
However the Chromosomes are not equal.
The human chromosomes that determine sex, the X and Y, are a bizarre
pair. The other 22 sets of chromosomes in our cells consist of
wellmatched partners, as alike as twin candlesticks. One chromosome in
each duo comes from the mother and one from the father, but both are
normally the same size and carry the same genes. (Genes are the DNA
blueprints for proteins, which do most of the work in the body.) In
stark contrast, the Y chromosome is much smaller than the X; in fact,
it is positively puny. It harbors no more than several dozen genes,
far fewer than the 2,000 to 3,000 on the X. A number of the Y genes
have no kin at all on the X. And the Y is riddled with unusually high
amounts of "junk" DNA: sequences of code letters, or nucleotides, that
contain no instructions for making useful molecules.
The human genome is estimated to contain 20,000-25,000 genes. The Y chromosome has 231. Other than those 231 sequences that do not exist in the female all of the genes are shared. So the math says (231/20000) so < 1.2% difference.
So the numbers in the quote are wrong. But is there more difference between Men and Women than humans and Chimps? For that I found this research which found:
Humans and chimps can have 95% or >98.5% similar DNA depending on
which nucleotides are counted and which are excluded.
So even using best case Men vs Women < 1.2% : Man vs Chimp > 1.5%
Clearly this is false.