Hm. Since I don't recall explicitly addressing this topic in any detail my thoughts on Wolf 06's current mental state, and a couple important things to contemplate while voting.
The mission: This is what she was programmed to follow, or rather she wasn't given anything else besides what is needed for war, therefore she'll adhere to until exposed to something else. In this engagement her mission is to take the snipers, and she is inclined to follows through on such actions. This is an issue as she currently has a heat axe buried in the shoulder, but thankfully Shockwave is in a pixie meaning the heat axe cuts through heavy lunar titanium at the speed of plot dice.... to be perfectly honest I'm surprised it cut at all as I recall Char clobbering the gundam like crazy to no avail, but he might've not had a heat axe at that point?
Side Note: The reason neither of the plans are shooting Wolf 06 is a pragmatic reasoning that unlike a heat axe Alex's railgun can either punch through LT like tissue piper, or make a very fatal dent if it hits the main body killing any squishy occupants due to the force of impact even when not overcharged.
Rage: It is a fact that Wolf 06 is angry, and I would consider it something that is heightening her focus on accomplishing her mission, or rather tunnel vision toward doing so. So from my pov making her more angry is liable to make her double down on finishing the mobile suit containing her heat axe especially if she is a Newtype who'd sense that Alex has zero intention of taking a shot to interrupt her melee engagement.
Emotional bond with Wolf 05: This is something that is shown to exist from the fact that Wolf 05 being hurt made Wolf 06 go from empty to rage. Any attempt to pursuit of a social resolution will involve Alex attempting to get ponder this bond, and trying to get Wolf 06 to start asking herself questions about anything. Because what is liable to follow are emotions associated with such things, and Alex is a Newtype who can give answers that hopefully create a connection that allows Alex to her surrender.
Possible Newtype: While we haven't been outright told this is true the fact that she is called a doppelganger, and a few other tidbits make it seem likely imo. If it is the case it makes a social resolution far more likely imo. Because it allows for things like using her bond with Wolf 05 to expose her to emotions beyond rage, and have Alex build a connection through answering questions.
Something to keep in mind is that based upon the fact that Wolf 06 was empty we're probably not dealing with a Neo Zeon Newtype whose been programmed* to follow a master, but a human being who was simply not given anything a regular person would acquire with time, and this makes her an incredibly brittle soldier. Given you know she lacks the life experiences to handle not being able to answer questions that resonate with her heart, mental hardening regular soldiers acquire through training to simply force such things aside to follow their orders, and/or the emotional maturity from growing up.
*Although a lot of the time they just wiped memories, and gave them a hook to use as means for acquiring a soldiers iirc, but TZ appears to have just left their doppelgangers as blank slates.
