What chance would the AQ powers have against the other WH40K major powers, assuming no demi-god creatures like Q intervene:
The Imperium of Man: Space amrines, Imperial Guard, Inquisitors, titans, ships that dwarf SW Imperial ships and many, many ways to kill planets.
My opinion: AQ is screwed, especially since the Warp will be 'clean' and therefor much faster and safer.
The Eldar: Severely reduced in number from the birth of Slanesh and the subsequent invasion of Tyranid Hive Fleet Behemoth, but still a strong force to contend with especially in the speed and psychic aspects.
My opinion: AQ is screwed again.
Chaos:



My opinion: AQ is even more screwed. I'd love to see vulcan get attacked by the Night Lords. Let's see the Vulcans be calm, logical and non-emotional then!
The Necrons: Not one of my strengths. Better off asking Necronlord. the no demi-god rule also apply's here so no C'Tanat least not in combat.
My opinion: Not sure, but the AQ is probably screwed.
The Tau and Kroot: A race who's only goal is to help the Greater Good .Can rival the IoM for sheer firepower, but lack a dedicated H-t-H force, hence the hiring of kroot mercenaries.
My opinon: A war would probably not start due to the Greater Good Tau beliefs. But if a war does start then the AQ is screwed.
The Dark Eldar: Same as Eldar just evil. Lack the psychic ability of their good cousins, but make up for it with massive speed.
My opinion: not too sure. The AQ probably stands their best chance against them.
The Orks: Tough, strong, but thick for the most part. A warrior race. A good blend of speed of toughness, but can't shoot accurately at all. Not that matters when you have as large numbers as the Orks. It is still under question as to whether Ork space travel is co-ordinated or random.
My opinion: If Orks are co-ordinated then the AQ is screwed. If not then the AQ might get lucky.
Overall opinion: the AQ is screwed against any of these races, but they stand their best (not a good, just their best) against the Dark Eldar.