I don't want to come across as patronising - you can do what you want - but I'd question whether, with all the different breeds of chicken, turkeys, quail, game birds, other poultry, you couldn't find one that would suit you as is.
They might try if confined together...heck our dog will try to breed with its dog bed if it's bored enough...but I'm not sure if you'd have any more satisfactory results than the dog has!
Quail no, pheasant yes but they will be sterile and unable to breed just like if you bred a turkey and peafowl together (pea cock or pea hen with a hen or tom). Turkeys and chickens can't breed, they are related but don't have the same amount of chromosomes.