Use your Weather painters S/T effects in order to banish them then use Numeron Network to special summon Utopic Zexal or Megaclops.
With your Weather Thundery Canvas, you can retake the kaiju you summoned on your opponent field in your hand so you can abuse of them. Kaiju slumber can help you by cleaning up your field if you don't have your Weather S/T and is a great threat for your opponent because it can search a Kaiju directly from your deck. Kyoutou Waterfront is the Field Spell you can use when you are done with Numeron Network because you're playing a lot of kaijus.
- Skill Drain as a last defense
If your opponent succeed at breaking your board, Skill Drain is always a great card that they can't easily overcome without the right hand.