There is some reason that your developers aren't engaged in the work. Figure out why they don't care about working code or the user experience and fix that.
If you plug the obvious holes, you won't have fixed your quality problems; you'll just shift them to the places where you won't notice them right away.
I can't agree more with wpietri above. There surely is a non-technical problem at play. That isn't to say that you shouldn't try to automate your babysitting, but if your need for babysitting is that severe, you have other problems.
There is some reason that your developers aren't engaged in the work. Figure out why they don't care about working code or the user experience and fix that.
If you plug the obvious holes, you won't have fixed your quality problems; you'll just shift them to the places where you won't notice them right away.