Dear Ernesto,
I’m not so good in coding, but I found two errors in Safari by adding previous and new code into functions.php …
Error: Syntax error, unrecognized expression: div[id*=ajaxsearchpro2_
TypeError: undefined is not an object (evaluating ‘a.find(“input”).get(0).focus’)
Maybe it could be the key to find suggestions to make it work also in Safari?