By not even bothering to put up a real fight against anyone else. Blue/aether dive-parallel dimension decks are virtually guaranteed to beat Miracle (95%+ success rate) even though they're rubbish against anything else (you can beat Fire Queen maybe 10-15% of the time that way, you're lucky to get 5% on the rest). If I ran into someone other than Miracle, I'd stick around a few turns on the off-chance I'd get lucky, otherwise I'd just forfeit (assuming I wasn't already dead anyhow). Miracle comes up 1/10 of the time and is an easy win, so I used that deck as a fast reliable way to fund experimental decks.

As an added bonus, Miracle coughs up a lot of cards which are useful for white dive/PU abuse, which it turns out is even better; it still crushes Miracle for reliable wins and manages to stand a chance against several other decks. I mean, I had managed to beat most of the gods using that particular air/aether deck, but the amount of luck required for most of them was just absurd.