The Los Angeles Times reports the plan is for parents to form chapters throughout the Los Angeles Unified School District aimed at pressuring the district to deliver results.
If expectations aren't met, petitions could be circulated to start charter schools, taking money away from the district.
Barr told the newspaper, "We're not trying to prove the district is doing things wrong. But our kids are at stake."
Organizers say they'll guarantee an excellent school within three years.
Meanwhile, LAUSD Superintendent Ramon Cortines is apparently doing his own parent outreach.
"I'm somewhat taken aback by this, but I look at a traditional school and a charter school as choices for parents. I think that competition is healthy, but I don't think any of us have all the answers. We should be collaborating," Cortines told the Los Angeles Times.