Just push the doges with your long-ranged and/or shockwave attackers and pray that Dober P.D. won't create shockwaves.
If you have any cats immune to shockwaves such as Anubis the Protector, Inferno Akira, or Gao, this stage becomes easy. If you have one of these as well as a cat that is capable of criticals and area attacks (Hayabusa in basic form is a perfect example), this stage will be steamrolled. The True Form of Sadako Cat (or maybe Cat Machine MK 3) works brilliantly as it stops wave attacks entirely.