Many people practice teaching in a variety of settings. Their demonstrated ability has little correlation with their credentials.
If someone gets stuck on an amateur plumbing or construction project, they call a professional. In other words, the professional competence is trivially demonstrable and applicable. Can you imagine needing a credentialed teacher to get you out of a bind?
> they believe they have insider knowledge as to how the system works.
Although the average person may be incorrect about how to fix it. It's not a good sign that almost everyone leaves with the feeling that something is deeply wrong and almost any alternative would make more sense.
> because they have had one child
Merely being exposed to more examples isn't data, you also need superior methodology. Even in educational academic studies you will find a lot to be desired in this regard.
The people I know who are most vocal about education have many children (4-8+). And they put their money where their mouth is and homeschool. Also, their children tend to grow up with a wide variety of personalities and lifestyles.
> get into the mix and actually help
The system is designed to remove autonomy and responsibility from teachers. They are overwhelmed by curriculum, and program mandates from school, district, and state. The best teachers I had were essentially opted out. A few completely donated their time and refused to participate in any school trainings or events outside their classroom.
The best way I can see to get involved is probably to advocate for vouchers and organize teaching in your neighborhood.