Problems with searching Contacts and Date Range using Profiles

I have a custom Contact Reference field and a custom Date field on a Profile. I can enter records using the profile just fine. However, when I try to search for the Contact, it always returns no results, because it does not seem to be passing the contact I choose. For example, when I choose a contact in my "Test Contact" field, here are the results it shows:

No matches found for:
Contacts IN Summer Program Volunteers AND Group Status - "Added" ...AND...
Test Contact =

Note that it says "Test Contact =" not "Test Contact = Alice Jameson's home" (the contact I selected).

I also have a date field (formated at mm/dd/yyyy hh:mm am/pm) that is entered using a Profile, and I have it set to search based on a range. However, if I enter a from date as 02/07/2012 10:00 am and a to date as 02/07/2012 5:00 pm, even though I have results in this range, it shows no results, and the search criteria is wrong:

No matches found for:
Contacts IN Summer Program Volunteers AND Group Status - "Added" ...AND...
Test Date >= February 7th, 2012 12:00 AM ...AND...
Test Date <= February 7th, 2012 12:00 AM

Note that it says 12:00 AM for both the from and to time, even though I entered 10:00 am and 5:00 pm.

I set up a profile on http://sandbox.joomla.civicrm.org/ just to see if the bug was reproducible with the latest code, and it is. Here's my profile create form:

http://sandbox.joomla.civicrm.org/administrator/?option=com_civicrm&task=civicrm/profile/create&gid=10&reset=1

Here's the search form that is not working correctly:

http://sandbox.joomla.civicrm.org/administrator/?option=com_civicrm&task=civicrm/profile/search&gid=10&reset=1

I talked with "dlobo" in IRC, and he thought this is a missing feature with searching of custom data. I may try to create a patch for this, and will submit it if I do, but I wanted to submit this bug in case I don't get around to it soon.