What's the noun for assaultiveness? Here's the word you're looking for.
assault
A violent onset or attack with physical means, for example blows, weapons, etc.
A violent onset or attack with moral weapons, for example words, arguments, appeals, and the like
(criminal law) An attempt to commit battery: a violent attempt, or willful effort with force or violence, to do hurt to another, but without necessarily touching his person, as by lifting a fist in a threatening manner, or by striking at him and missing him.
(singular only, law) The crime whose action is such an attempt.
(tort law) An act that causes someone to apprehend imminent bodily harm.
(singular only, law) The tort whose action is such an act.
(fencing) A non-competitive combat between two fencers.