This is actually really simple, but I stumbled across it, so I figured I would throw it up here:

If you have an array or list of text string elements that you want to sort alphabetically, ColdFusion has a built in function for just that - ArraySort or List Sort

Note: ArraySort only works with one dimensional arrays.  If you have multi-dimensional arrays that you want to sort, you should first concatenate the columns into one delimited list to store in a one dimensional array.  In other words, if you have:

MyArray = ArrayNew(2);
MyArray[1][1] = "x";
MyArray[1][2] = "hello";

... you will need to change this to:

MyArray = ArrayNew(1);
MyArray[1] = "x,hello";

... or something along those lines.  Ok, so back to the task at hand.  Sorting lists or one dimensional arrays is very simple.  See the code below:

<cfscript>
MySortedList = ListSort("x=hello&a=1&c=3&b=2", "textnocase", "ASC");

MyArray = ArrayNew(1);
MyArray[1] = "x=hello";
MyArray[2] = "a=1";
MyArray[3] ="c=3";
MyArray[4] = "b=2";

MySortedArray = ArraySort(MyArray, "text", "DESC");
</cfscript>

Here is some Adobe ColdFusion documentation on this matter: http://livedocs.adobe.com/coldfusion/7/htmldocs/00000397.htm

Hope that is useful to some one.