I ask because the two main priorities that have been previously mentioned for Insurrection Act invocation (by the Trump team) have been border security and civil unrest. I specifically want to dial in on what will happen on the civil unrest side.

"military directed against protestors" is somewhat at my discretion here, but will generally be taken to mean US military present in an official capacity at a public gathering that has at least the ostensible purpose of protesting something.

"Trump's second term" means his legal term, until the term of the next president is supposed to start in January 2029. If Trump ceases to be president before that time and he has not yet invoked the Act, this question will resolve to "no" even if Vance or whoever succeeds Trump invokes the Act immediately upon gaining power.