Did you just post statistics, or did you post actual qualifications? Something official would be nice.
Obviously there aren't official qualification requirements or we wouldn't be having this discussion. There have only been 12 secretaries of education since it became it's own department so it should be pretty easy for you to do your own research. I'll summarize.
1st Shirley Ann Mount Hufstedler: BA in Business administration and another BA in law from Stanford
2nd Terrel Bell: Masters and PHD in higher eduction. Was a bus driver, teacher, and superintendent
3rd William Bennett: PhD in political philosophy, JD from Harvard, was an associate dean at Boston U and also a prof, was the director of the NHC
4th Lauro Cavazos: BA and MA in Zoology from TTU. PhD in physiology from ISU. Was a professor, dean, and president at multiple universities.
5th Lamar Alexander: BA from Vandy and a JD from NYU, and was Governor of Tennessee before being the secretary of education
6th Richard Riley: Law degree from South Carolina. Was a house and senate member from South Carolina. Eventually the Governor of South Carolina where he spearheaded huge education reforms
7th Rod Paige: MA and PhD in education. Was a Board of Education officer and trustee. Eventually a superintendent.
8th Margaret Spellings: BA in political science from Houston. Was the associate executive director of the e Texas Association of School Boards.
9th Arne Duncan: Graduated magna cum laude from Harvard with a BA in Sociology. He was the director of an education initiative in Chicago and ended up being the Chief Executive Officer of Chicago Public Schools.
10th John King Jr: This guys resume is insane. BA in government from Harvard. Was a teacher and got his masters in teaching. Co-founded a prep school. Was then the managing director for another charter school. Got his JD from Yale. Got his PhD in education from Columbia. He was the Commissioner of Education of the State of New York, and then the President of the University of the State of New York.
11th Devos: BA in business economics
12th Miguel Cardona: BA in the science of education. Master of Science in bilingual and bicultural education at UConn. PhD in education from UConn. Was a teacher, principal, assistant superintendent, and professor at several schools. Was the Connecticut commissioner of education
Now with a straight face can you tell us Linda McMahon belongs anywhere near this list? I agree with most of your guys complaints about the education system. But then trying to defend a nomination like this as someone that can address any of the problems you bring up invalidates your argument.