you can add two hidden form elements to the page, and add javacript to the onClick event of the submit button to set the hidden form elements to the text of the list items.
The following example assumes a few conditions:
1) there is only one form on the page.
2) the two lists are named "List1" and "List2"
3) The hidden form elements are named "List1Text" and "List2Text"
<input name="button" type="submit" id="button" onclick="document.forms[0].list1Text.value = document.forms[0].list1.options[document.forms[0].list1.selectedIndex].text;document.forms[0].list2Text.value = document.forms[0].list2.options[document.forms[0].list2.selectedIndex].text" value="Submit" />
You will still get the ID values, but you will also get the text values.