I gotta go with Mr. Moore here -- the Janeway problem in Equinox II was bad writing. Also bad directing.
Look, I understand the point of the exercise, Janeway starts to look more like Ransom, he moves more toward her, yeah that's fine. Subtle stuff if done right. It just wasn't done right, she almost instantly becomes a Janeway parody, as if this were a reverse universe script. Chop off all their heads, I'll fire anybody who gets in my way. Queen of Hearts. Her about face at the end, OK Chakotay you were right about everything, was lacking in credibility too.
Perhaps Patrick Stewart could have carried it off, but not because he is a man. Because he might have the acting chops to overcome a bad script. Ditto for Helen Mirren.]
Bad writing? Those writers could never satisfy some, IMO. They go light and fluff (I'm being somewhat cynical here), it's not realistic. They finally take an objective look at what Voyager could of become and it's bad writing.
I do know, while I enjoyed large parts of Equinox, that Janeway's characterization in the second part was second-rate, soap opera stuff. I like Voyager but it had a lot of those moments, which is one reason why it didn't click with the general public as much as some other Trek shows did. People recognize quality, by and large. And Voyager wasn't really high quality, not by the standards of top prime-time shows
Second rate? Basically, Janeway was dead on; here she was trying to bring to justice a mass murdered, who had betrayed the uniform and endangered her crew and family. Not soap opera to me.

Put it this way; imagine you were trying to bring a man of Stalin or Hitler's kind to justice. You think you wouldn't be a bit zealous?
I dunno, it's not a bad 2 parter, but Janeway kind of annoyed me. She had made some very questionable choices over the course of the series, yet she comes off all high and mighty here, first preaching about principles and then determined to hunt down the evil Capt. Ramsey (?) for breaking his oath. I didn't buy it, and it's inconsistencies such as these which really bugged me with respect to VOY. One episode Janeway is the nutcase; the next she's Mrs. Starfleet.
I'll admikt, she's bent the rules a bit, but take note she never outright disregarded them, especially at such a magnitude as Ransom. I think overall she was consistent, with a few holes here or there.
And I didn't consider he so much a "nutcase" but as a zealous officer trying to bring down someone who threatened her family and committed genocide, who crossed the line in her desire to find Ransom.