I really have mixed feelings on this topic. As Livinglegend said, I tend to think that if someone has met the moral character requirements and can pass the bar exam, why not admit them? Much of the opposition to unaccredited schools is simply based on snobbery.
On the other hand...
The statistics don't lie. Several unaccredited schools posted bar pass rates for July 2012 that were zero. Others were in the single digits, and a few were in the 25% range. Keep in mind, that's after a significant number of underperformers have already been weeded out by the FYLSE. These schools are unaccredited for a reason, and it's because they haven't met either the CBE or ABA standards.
FYLSE and bar pass rates that are so low indicate that either 1) the school's admission standards are insufficient, 2) the academic program is not rigorous enough, or 3) both. I suspect it's the last one. There is an issue of consumer protection to be addressed here, too. If a school has either a low single digit or zero bar pass rate, and has had that rate for a while, should they be permitted to take people's money by claiming to offer a quality legal education? I'm not really a fan of the "nanny state" mentality either, however. Thus my mixed feelings.
Statistics on the last bar exam in Jun 2012 state the passage rate percentage for CA Accredited was 31% for first time takers, repeaters 10% and all takers 19%. For all takers in the unaccredited category - 15%, not much difference between CA Accredited and the Unaccredited and the repeaters for unaccredited was 12% HIGHER than the accredited 10%.
California ABA schools averaged a 77% first time pass rate this last July, 31% for CBE accredited. Even the lowest performing California ABA school (Thomas Jefferson) was 52%, not bad at all considering the difficulty of the CA bar. If you look at the CBE schools, they tend to vary quite a bit more than the ABA schools. Some were 0% passing, others were around 50% or higher, but the numbers of takers tend to be much smaller than ABA schools.
A few unaccredited schools acheived decent pass rates, but again, the numbers of takers tended to be very small. San Luis Obispo posted a 67% pass rate, but only three people took the exam. Concord and Taft seem to be the most consistent performers, and are often in the 25% range. These schools are the exceptions, however. Most of the unaccredited schools posted pass rates in the 0-20% range, with repeat takers scoring about the same.