Did you mess up? Yeah, you are probably in for a lot of stress. Extra work too. These are called staggered hatches as they are spread out. You run into issues with turning and humidity. To me a big issue is that the chicks make a mess when they hatch. They poop, there is gunk from the eggs. That poop and gunk can become stinky two or three days after they hatch. It's a great environment for bacteria to grow and kill your later eggs. I try to avoid staggered hatches.
But you have two incubators. Depending on how many eggs you have and the capacity of your incubators there are things you can do. Some people do staggered hatches all the time, generally by using one incubator as a hatcher and one as an incubator. Where your problem comes in with that is that you only have four days between the first two hatches. You should leave about a week between hatches so you have time for a batch to hatch and then you clean and sterilize the hatcher to get ready for the next batch in time for lockdown.
The way I'd approach this would be to put all the first eggs in one incubator and hatch them in it. Use the humidity and turning as you would for a normal lockdown. You may get really lucky and the first hatch will be over before the second go into lockdown. That would give you a chance to clean that incubator and put the other quail eggs in it. I'd delay the second batch going into lockdown by at least a day and maybe even two days if that allows you to do this. It is going to make life so much easier for you. After the second batch of quail hatch, clean up the incubator and split the other eggs by hatch day. And stop starting eggs unless you get a third incubator.
Both of your incubators are the type that turn the eggs by spinning around, not the type that rock them back and forth. I'm not familiar with those so I'm not sure how hard this next step would be if what I said above doesn't work. I'd want the second batch to hatch in that second incubator but cage them so the chicks can't crawl over the other eggs and slime them. But you want to turn the other chicken eggs while these quail eggs are not turning. Can you make a floor, maybe out of a plastic or paper plate to set in there so the eggs don't roll and make a "box" out of hardware cloth to set over it so the chicks don't slime the other eggs when they hatch and crawl around and it contains the mess. Sounds too complicated to me but maybe you can come up with something since you are looking at it. After this hatch put the other eggs in the first incubator until you clean this one, then split the eggs by hatch date.
I'd run the humidity based in what the next batch to hatch in that incubator needs. Ideal? No. But probably the best you can do.