People are way overestimating Wolverine. WW could stomp him hard, WW and Superman have agreed that she has a faster combat speed then him. So even if he got the drop on him she would see it in slow motion and punch him into the sun.
I said under the right situations I am sure if I did digging I could find her losing to batman or deathstroke who wolverine could beat she is vulnerable to cutting weapons and wolverine could sneak up on her in the right situation wolverine could beat her could he beat her in a head to head fight unlikely but a reasonable way for wolverine to win could happen.
That is going to be some really good digging to pull that off.
Unlikely? Do you know how strong, skilled and fast WW is? She trades blows with Superman and has tied up Amazo's arm mid word.
Team 2 wins. The initial wave is already pretty powerful. Joker and Two face are both powerful enough to probably win against Robin, batgirl (not cassandra), alfred and oracle. The other 4 are some of Batman's heaviest hitters. With no explosives or cryo they could do serious damage. I mean Deathstroke alone would take Tim, Dick and Bruce. Most likely they will lose several members of the family. The second wave is actually probably nearly as strong as the first. So I think that will finish them off.