PROBLEM RESOLVED
In my case the problem was that I do the ajax call (with $.ajax, $.get or $.getJSON methods from jQuery) with full path in the url param:
But the correct way is to pass the value of url as:
url: "site/cgi-bin/serverApp.php"
Some browser don't conflict and make no distiction between one text or another, but in Firefox 3.6 for Mac OS take this full path as "cross site scripting"... another thing, in the same browser there is a distinction between:
http://mydomain.com/site/index.html
And put
http://www.mydomain.com/site/index.html
In fact it is the correct point view, but most implementations make no distinction, so the solution was to remove all the text that specify the full path to the script in the methods that do the ajax request AND.... remove any BASE tag in the index.html file
base href="http://mydomain.com/" <--- bad idea, remove it!
If you don't remove it, this version of browser for this system may take your ajax request like if it is a cross site request!
I have the same problem but only on the Mac OS machine. The problem is that Firefox treat the ajax response as an "cross site" call, in any other machine/browser it works fine. I didn't found any help about this (I think that is a firefox implementation issue), but I'm going to prove the next code at the server side:
header('Content-type: application/json');
to ensure that browser get the data as "json data" ...