Mina's incredible (and underrated) detective prowess would be very useful I bet. Put her on the helm Integra, Van Helsing praised her brains as being above everyone's including himself for a reason.
I honestly can't guess what the chemistry between Integra and Mina would be. Integra doesn't really click with me as a classically heroic character, for all that she does focus on saving humanity from the undead via Alucard and her forces, being the Boss Lady etc etc. She's miles away from being as insidious as an Amanda Waller, but...
The hotel. The fucking hotel will never leave me.
Yes, the order went directly against 'soldiers of the enemy,' but those soldiers had been lied to about who and what they were charging into. Which was obvious even without being a fly on the wall to know their higher-ups had fed them some BS to march them into death and win their own power grab from Millennium. She didn't tell Alucard to 'make it quick' or even just to 'neutralize.' She told him to search and destroy. Folding to Alucard's egging and negging to seem like a Worthy War Commander in the grand scheme~ of the plot
She's not heartless, exactly, but she is arctic and surprisingly quick to breeze past the loss of lives that aren't under her direct care/command. While she might respect Mina's abilities and investigative skills--I wouldn't be surprised if Mina could intuit Millennium's endgame well before the climax could happen--Integra inherited none of her ancestor's warm regard, supposing Abraham van Hel(l)sing had any of the original's tenderness in him (50/50 considering this takes place in aggro horror territory). We can't even say if this universe's Mina played any big role in cornering Dracula; she might just have been a targeted damsel.
All that said, I think Integra would see Mina as another time-displaced bleeding heart with a few useful skills, same as Jonathan. Someone to be an ally at best, a liability at worst. So I don't see her handing over any reins or offering to be co-girlbosses any time soon :c
Every time I see that G--gle phone photoshop commercial my heart is filled with infinite sadness, like, yeah it's cool you can have a good family photo, it's cool you can do that, but god, there is something to be said for the honesty of a family photo where you're blinking, or crying, or have ugly wrinkles.
What is too unsightly for you? Would you swipe-click-replace out the image of my cousin crying on our Florida trip family reunion photo? Would you remove the plastic snake I have clenched in my grip, which I still have to this day? Would you scoff at the wrinkles around our eyes and the strands of hair on our faces as we squint into the wind, the day before the massive storm? Would I remember it if I didn't have these reminders, if the picture was perfect and clean, all children in a row with perfect gleaming white tombstone tooth smiles? No tears. No plastic snake.
“But what does Grover bring to the table? He’s just the comedy relief character.” Grover is juggling the role of babysitter, mediator, and emotional manipulator and he cracks jokes too? Give him a BREAK