[itsoktocry]

>The problem is that tests do not ensure that high quality students are admitted.

Ensure, no, of course not. But it's better than nothing.

>very common disabilities like dyslexia or dyscalculia

These are not "very common" by my defintion: 10% of population, of varying degrees.

>neither of which has anything to do with intellect and sufferers of either can be excellent students. However, they will fail horribly at any kind of standardized testing.

How do you know they'd be great students but fail at testing? How are you assessing it? Isn't this the answer to all these issues?