A mad Batman, would this be the same as bloodlusted? If so, with his home field advantage in Gotham City, neither DD or Punisher know the city and neither of them have the stealth that Batman does. If had to take them both head to head, he isn't going to take the win espically if Punisher is getting his full arsenal. He does best both DD and punisher in h2h fighting skills.
If he's in Gotham and gets the city to roam, he takes out Punisher before he even knows what hit him, then continues after DD, an explosive batarang throws off his radar and Batman goes in to finish the job. Thats if he gets the city to roam, if he has two fight them both at once, hes got a rough tussle on his hands and wont take the win for it at all.