The best thing to do would be to convert the entries in the DB and use a proper DATE format; it'd be much easier and much more effective that way.
Otherwise, you'll have to generate datetime expressions MySQL can understand during each query, like so:
SELECT myDate WHERE STR_TO_DATE(myDate, '%M %e %Y') <= '2005/1/10'
where the 2005/1/10 expression is an example target date.