Ok, everyone is trying to tell you nicely what to do. But because I read your post and I'm not a nice person and obviously your somewhat clueless, an idiot, or both, I will give you an answer because your questions state that you obviously you arent getting the point.
An alligator cant breed a dog... They are two different species... If you want to get babies you HAVE to get a female bird of the same species to go with a male of the same species. A male coturnix breeds a female coturnix to make fertile eggs.
Coturnix quail will be your best bet to get to breed quickly and get fertile eggs. You will HAVE TO GET AN INCUBATOR!!! ANY DOMESTIC QUAIL WILL NOT BROOD EGGS!!!! THEY JUST WONT!! DONT BET ON IT, GET OVER YOUR IDEA AND UNDERSTAND IT WONT HAPPEN. THE BROODY "KNOWHOW" HAS BEEN BREED OUT OF THEM OVER THOUSANDS OF YEARS..
DO NOT KEEP DIFFERENT SPECIES OF QUAIL TOGETHER IN THE SAME PEN. IT'S LIKE KEEPING THE ALLIGATOR AND THE DOG IN A PEN TOGETHER!!! IT DOESNT WORK OUT, EVEN IF YOU THINK THEY ARE BOTH NICE.
Either decide if you want to breed coturnix quail, or bobwhite quail, or both BUT BREED AND KEEP ALIKE SPECIES TOGETHER ONLY.
You are not a scientist. You have no business trying to make a hybrid alligator dog and try to get eggs with fur.
It's simple really.... Don't come to a forum to ask dumb questions and waste peoples time trying to breed an alligator to a dog or an elephant to a cat. It does not take a genius to understand what everyone has told you already.
"I want to make my quail go broody and hatch their own eggs" - Well I want 500 million dollars to fall in my lap tomorrow while I sit on my couch.... Do you understand the stupidity your bringing to the table here yet?
After numberous people reply to your question to help you and educate you, dont keep going like your going to change evolution. Evolution as already taken it's place before you were born and the way it is is the way it is.
On that note, if you want to kill your birds by doing what you want, by all means kill them, they are yours to kill. But, remember in the end, if you have a serious question and would like to learn, there are a few people on the forum that can teach and educate you wether it be informing you of what to do nicely, or telling you bluntly to that you are wrong.