I’ve been in a similar organization and have been put in charge of projects that I’ve been under qualified for, too, but I pressed on with good intentions and an “I care!” attitude. The problem is that at these organizations there’s often no one more competent to turn to for help. If you fail (like I did) you get the sense that there’s a class of people who can do things rigorously and well and then there’s the class that includes you. It’s an experience that can easily leave you worse off.

It would be noble to stick around, but maybe a person owes it to him or herself to find an organization already doing things the right way that is willing to hire and train eager inexperienced team members.