In the case of LA, your assertions are just not true. They seem to be based on generalities about monopoly markets, and to be un-informed by how charters really play out.
The charter school era has been a period of great change - but there are some really bad charters, and some of them fail suddenly during the school year. Some of the for-profit charters have been notably corrupt, and oversight of small charters is hard. As a recent example, a charter near my home closed just a few days after the beginning of the school year, due to insufficient enrollment (http://www.pucschools.org/iprep/). Now those families are searching for another school. Most of them will end up at their neighborhood school after all.
To return to your "market" concept: one of the fundamentals of properly functioning markets is information. It is very hard for parents - even well-informed parents - to gather information about the real quality of instruction at a school. (The things that parents respond to don't really correlate with educational quality.) Another fundamental is liquidity - this is just not a liquid market. People like to stick with one school if possible - for good reasons.
Another problem with the "market" concept is that provision of elementary education is not really a market transaction. The teachers are not really in it mostly for the pay. The parents don't treat it as a market either. What was the last time you volunteered time at your local grocery store or lumber yard?
You and I agree that there are problems with "monopoly" elementary education - but throwing charters at it as a simple market solution has not worked out well. It seems to be a more complex problem.
[1] http://www.governing.com/gov-data/education-data/state-educa...
Better to eliminate the reason for good and bad schools - using property taxes. Also source for 40k? That's about 4x as much as it's reported to be.
And, as mentioned, transportation is a big issue for many as well. School busses are nice for those parents who have to work at 7, or earlier, and can't take their kids to school. Same going home. Unless, of course, you're going to start bussing kids to all the new schools that pop up, assuming any do.
Also, how do you deal with regulations and standards? If my tax money is going to a private school, it better follow a standard and not be teaching creationism, etc.
And I, too, would like to see your source on cost of education... You also assume that the private schools won't all be owned by the same company or that they won't agree to set prices the max available from the vouchers... Or higher.
I'm doubtful about your assertion that new
schools will pop up.
If you can get $44k per student per year, I'm sure new schools will pop up, just like for-profit colleges. Whether that's a good thing is of course another question.(For a couple of years my kid went to a school that encouraged donation of ~$50/day/kid for voluntary absences, to make up for the lost state fees for that day of instruction.)