I agree that both can fall into destructive behavior but overall I don't believe women are as aggressive as men. Male Chimps are fucking crazy and far more aggressive than the females. I think its easy to find individual women who are very aggressive and passive men, but overall I have to give the anger/violence prize to the men.
Human beings aren't chimpanzees and we aren't bonobos either, which are even more closely related to chimpanzees and have a radically different social hierarchy. Amazing what a few diverges in the genes can do. Our evolution points toward far more cooperative behavior between males and females than chimpanzees have ever displayed. I think it's best that if you want to make a case for human male aggression, then use human males.
With human males, there is evidence of the status quo (from an evolutionary point) being that males played some role which used their enhanced physical strength and recklessness to advantage for the group. However, there is also evidence of males being able to deviate from the status quo with a high degree of variability. For instance, males have a nurturing side, and they do submit to others who are demonstrably weaker than them. There is evidence of the status quo (from an evolutionary standpoint) being that females played some role in which reduced physical strength and frugality were used for the advantage of the group. Yet, there is evidence of females being able to deviate from this in which they do display aggression, they disconnect from nurturing, and they refuse to submit to those stronger (even at great peril to themselves). It does not appear to be the "natural" order for males to dominate females in regards to humans. Our anatomy and behavior points to a division of labor, compensatory versatility, and a high degree of cooperation. All of which is very limited in chimpanzee society but more prevalent in ancient human society.
Lastly, using more current societies to determine the innate behaviors of men or women is going to be difficult and at times misleading. Both men and women are reared in artificially created gender roles which inhibit the healthy emotional expression for boys (suck it up and be a man, men don't cry, doing "feminine" things means you're gay... etc) and curbs aggression and assertiveness in girls (the man is in charge, be a lady, must be delicate and presentable if you are to marry, looks matter more than brains... etc). The gender roles do not line up with how we inherently feel since there is much dissent and grievance from those who feel hopelessly stuck.
The only thing for certain is human males display more aggression than women but the cause of this is unclear at best. Are males more aggressive because of the testosterone levels alone, because many of the traditional male roles focus on strong traits with no regard to understanding/expressing vulnerable emotions, or a combination of the two?