As others have noted, “human nature” applies to an aggregate of all people in this context. It does not mean that each individual carries a will to dominate.

Fact is, though, psychopathy as a neurological condition does exist. Narcissistic Personality Disorder as a psychological condition does exist. Combined with all manner of forms of cognitive dissonance and willful blindness, there are people that very much have the will to dominate, the ability to find followers to help them, and the lack of empathy to care who gets crushed along the way. Not even including extreme mental disorders, though, there is still love, hate, fear, desire, jealousy….as long as emotions exist there will be cause for chaos among human civilizations and those that seek to take advantage for personal gain, to protect their families at the expense of others, or simply to act out of spite (which often comes from ideas of fairness).

Also, “human nature” as a term is not meant to associate a moral good or a moral evil. It is simply the biological “nature” part that makes up the behavior of Homo sapiens. What makes humans unique to other animals is our ability to cognitively recognize that nature, understand it, and choose to act differently. When that choice is made is influenced by lots of things, unique to each person, and is another battle that must always be fought (think of the person that wants to stay loyal to a spouse but has the opportunity for hot sex right now).