There are threads on here about Chinese Painted Quails (CPRs) who can live in devoted family groups where the male takes loving care of a couple of females and where the females lay eggs, sit on them and rear chicks.
But with coturnix I can only speak from my own experience. I got really fed up with coming down in the morning and finding yet more blood all over the cages and another badly injured female. The males grab hold of the females with their beaks, on their shoulders or heads, without any preliminaries, it’s basically rape. The females try to shake the males off but the males hold on even when dislodged, and their weight often tears chunks out of the females body. I had to put down one female who had her eye and much of her face removed. At the time I was hatching them, so I tried removing the males as soon as I could sex them, but often they seemed to turn into boys overnight - they would be peaceful, quiet little birds one day, then the hormones would come raging in during the hours of darkness, and another female took the brunt.
Also the male-female ratio was crazy - out of two hatches, totalling 19 chicks, I got 7 females and 12 males. I got to the point where I simply culled the males as soon as I could be sure of their sex, and the six remaining girls lived happily and peacefully together for several years and laid hundreds of eggs between them.
I’m not surprised that your males fought in the presence of the females. However I am surprised that all the females are still intact. I would watch the situation very carefully, prepare a hospital cage and make sure you have some of that purple antiseptic spray for birds in stock, in case of injury. I hope you’re right and that they can live together, and I’ll be very interested to hear how they get on.
If you do go ahead with finding more females for the other male, again I shall be interested to hear how it goes. You are going to end up with rather a lot of quails though. If you do find the females are suffering, I’d advise the chop for the males. The eggs are lovely, however!