I'm well aware of Kirby's Fourth World and its characters. Outside of Grant Morrison, the New God's are written as very powerful, extra dimensional beings, who while formidable, can be physically overpowered and even killed with sufficient force. They are very much akin to Marvel's Asgardians in many ways (which makes sense, considering that Kirby envisioned them as a new generation or continuation of gods like the Asgardians or Olympians, hence New Gods).
The only version of Darkseid that is beating Thanos is the one from Final Crisis (True Form, not the Dan Turpin Avatar) , but the metaphysical interpretation of the New Gods is pretty much ignored by every writer not named Grant Morrison.