Personally, I want to see Diana separate Bruce and Clark like a couple of squabbling children. Then I want to see her basically point them in the direction of the real villain of the movie and take off after the villain without them. The idea of Clark and Bruce having to pretty much follow Diana into battle would be hilarious.
Yes.
I'll always be more of a Superman fan than a Batman fan, but Batman's fans deserve to see their character treated just as well as Superman's fans do.
The conflict can't just be Superman, laughing arrogantly as Batman completely fails to do anything relevant against him. For one encounter? That would be kind of funny. But the whole story can't be like that.
I want to see Batman get his impressive moments against Superman. I just don't want to see 1.) Batman's capabilities exaggerated, 2.) Superman's capabilities downgraded, or 3.) both of these.
Batman can hurt Superman, but I want it to be something believable. If Kryptonite is going to come into play? Fine and dandy. Sonic weapons? Very effective. Electricity? It better be a whole LOT of it, but okay. Since Dark Universe is going to be part of the DCCU? Saying that Batman has a few magical weapons would be acceptable as well.
What I don't want to see is Batman inexplicably beating Superman up with his superior fighting skills and somehow doing damage, despite being a mortal man punching a bulletproof alien.
Both characters deserve to look good.