Highfather and Darkseid's energies are treated as equals and oppistes which are powerful enough in their own spheres to right the madness in The Source itself:
Martian Manhunter admits that hi entire team including versions of The Spectre and Dr. Fate couldn't beat Darkseid, and they had to lure him into a Boom Tube to The Source:
True. But you can't argue that Supes, Wonder Woman, Flash, etc. would outright get owned by Orion, Kalibak, or the Female Furies. Cause when it comes down to it, they're all depowered.
Otherwise, why have threads involving Orion, Kalibak, Stephen Wolf, or any other New Gods against Marvel or even current DC characters?
Orion or Kalibak would stomped Supes in a fist fight thread. Same way Darkseid would beat up Thor and Surfer if we went by just what's said.
The 4th World is still part of the universe. Darkseid helped out with Anti-Monitor. He also made a pack with Luthor during OWAW. He's certainly not outside of influence.
Darkseid loosing too Superman twice actually doesn't count why;
1) He made him over-confident in Apokolips now.
2) He was hit by his own OE in the eye giving him a headache, giving Superman enough time too take him close to the sun, Darkseid would have won that match if he wasn't stuck too the source wall.