Access to money or resources in general changes the problem.
Apparently you are not familiar with the definitive research in this area. The Coleman Report (Equality of Educational Opportunity, 1966) contradicts your assertions and found:
"Using data from over 600,000 students and teachers across the country, the researchers found that academic achievement was less related to the quality of a student's school, and more related to the social composition of the school, the student's sense of control of his environment and future, the verbal skills of teachers, and the student's family background."
If you want to fix the slide in educational outcomes in the US, you need to stop spending on all the frills (no more monuments to technology and sports) and signifacntly raise the bar on educational expectations. Then we need to engage the parents and begin to educate them on their role in their child's education. Finally, we need to get rid of half of the administration staff in school districts. The upside to this approach is that we will free up a siginificant amount of money that can be used to hire more teachers and shrink classroom size.
Our problem is not the quality of our teachers, it is the low level of expectations that we have placed upon our students, their peer groups, and their parents.