Yeah, mouse responsiveness in general seems too poor for how quickly things can move.
Note: Didn't notice this at first, but there's a little "filling circle" cooldown on how often you can pick up a girl. But it's still difficult to pick up a moving girl even when she isn't on pickup cooldown. I also think you essentially can't click offensive skills if there is no opponent in range. And for ranged AoE's, you can drag the attack to where you want it.
You can also zoom in with the mouse wheel, but moving the view around is SOO slow (click and drag, at like a fraction of the speed the mouse is moving)
Oh, one thing to mention, I guess. I don't really *use* mage characters.
I use my tank and my healer, with the other two characters never deploying until my tank has engaged the final enemy. They're pretty much just there to sponge EXP to do challenges at some later date.
It's too hard wrangling the maidens to prevent all the squishies from running past my tank and getting 1-shotted. Even with the healer, I usually have her "picked up", drop her way back, cast the heal, then pick her up again. Thankfully, skills cycle even when they are being held after first deployment, and casting the heal keeps her in position for a good chunk of her pickup cooldown.