People can use any information for any purpose, but that doesn't make the information correct. Males are more aggressive, both in humans and in most of the animal kindgom.
You do not see two mares fighting over a stallion, but you see one aggressive stallion fighting off other stallions that would come close to a herd of mares.
You see men throughout history starting and leading invasions and wars. Alexander the Great, Gengis Khan, Stalin, Putin, Hitler, and on and on. Very few woman, by comparison, have done this.
Because a proponent of patriarchy would use differences to advocate their system does not make the differences nonexistent, nor does it valididate the system. People twist many other things to suit their narratives. But we don't circumvent truth to perpetrate our own narratives. Strength lies in truth. And I do not believe women should be drafted to fight men's wars.