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I just realized something-
In the TMNT 2012 series, Kirby O'Neil is a psychologist so he could very well help the turtles with their trauma and maybe some other potential issues they never noticed.
I heard that Leo's visions of his deceased father are a potential symptom of schizophrenia. I personally don't think he has it, but I do like to think about it. Magic IS a canonical thing in the 2012 universe after all so maybe spirits do as well. Either way, the fact Leo is trying to speak to his father's spirit at all, even though he is no longer with them, is cause for concern. By that point the turtles had already met April's dad, so they could go to him for help if they got too overwhelmed.
I'm gonna add a cut off here so that you don't have to read about how this will effect that Mutant Mashup Au I've got with @possumsarenice if you don't want to.
Thanks for continuing to read!
Anyway, since canon Mr. O'Neil is a psychologist, in the Au he'd get along pretty well with Orange (Rise Mikey). He might think "Dr. Delicate Touch" comes off a little strong but thinks it's funny nonetheless. I kinda wonder their first meeting was Orange eagerly asking questions about Kirby's process and what it's like helping people through their issues. Kirby probably got a bit overwhelmed, but how could he resist this kid? (Rise Mikey in general just radiates "adopt me" vibes. Those puppy dog eyes let him get away with SO MUCH in this AU it's unreal.)
Kirby is a ball of nerves most of the time and over thinks a lot. Generally very stressed out, but he does love his daughter and only wants to see her happy. He'd definitely adopt the Hamato's, he knows they make May (2012 April) feel like she belongs so he doesn't mind them crashing at his apartment for movie nights or snacks or even if one of them needs advice.
Since I brought up Kirby it only feels appropriate to wonder about Carol O'Neil. In the Au, I imagine she's an accepting lady, if her daughter is anything to go by, and is generally very friendly. She'd also have that "calming vibe" and is very caring as long as you behave. She's a strong and encouraging mother that can and will mama bear April and her friends.
When it comes to both of them, Kirby and Carol are great friends. She and Kirby are probably those parent friends that meet up every once in a while to talk about whatever adventure their daughters went on. I don't really see them as a couple, just really good neighbors! Carol's calm nature helps keep Kirby from exploding with worry whenever May isn't home on time or something like that. I imagine both sets of O'Neil's live in the same apartment building, but are like a floor or two away from each other. May and April probably had several sleepovers as kids, so Kirby and Carol each have several blankets and pillows tucked away in case the girls ever need an emergency sleepover.
I think that both of them met the Hamato's at the same time, maybe during the Krang invasion. April and May were worried about their parents and quickly introduced them to the turtles before letting them know the situation. In this Au, the invasion lasts longer than canon, so Carol and Kirby bonded with Yoshi and Lou before Yoshi's death. Over time the two adopt the turtles one by one, Carol thinks they're sweet boi's while Kirby thinks they're kind hearted hooligans and always laughs at Blue's or Simoni's jokes.