Because the Judo Mech has armor, you can still hit it with the cluster artillery without taking damage.
Look for an enemy two spaces away from a deadly tile -- vice fist can throw them into it.
You can use the repositioning abilities of the squad in succession: first place two enemies adjacent to each other, then get bonus damage on knockback.
Many pilots could synergize with this squad. Henry Kwan can more easily get into position to throw enemies. Harold Schmidt gives a free additional "weapon" to knockback enemies. Chen Rong or Archimedes can get the Judo Mech out of a bad spot after attacking -- compensating for the limited choices of tiles to attack from. Prospero's flight makes the Gravity Mech's movement much more versatile, and helps you pull enemies into deadly tiles.
Always check the Attack Order to look for chances to kill an enemy with friendly fire before they get their own attack off!