I would start testing out that you are using correctly formatted dates. Change the Format of your date column to Best and see if you get JMP's DateNum (something like 3731949420, which is number of seconds since midnight, January 1, 1904). If you get something different, you might have to do some conversions.
"06/04/2014" isn't correct date in JMP, you can for example use Date MDY() (Date MDY(06,04,2014)) or InFormat() (Informat("06/04/2014", "MM/DD/YYYY")) to convert that to a date. I would use Date MDY() as it should always work.
After that you should be able to do the comparison like you are doing, or you could use something like Date Difference().
-Jarmo