The fact you have gone to the trouble of recording the same part twice then the result of hard panning them is still present and worth doing. No matter how identical you think the two parts are they are still differenet and hard panning them will still have the effect of creating a stereo image across the panning spectrum. And it is much more intersting that throwing one away and only using one of them.
If they are very tight timing wise then that can be good as it keeps flamming under control.
(don't be afraid to edit vocal phrases that are out timing wise by a long way. Editing can bring sloppy timing parts back into line) Try inserting small amounts of delay to one of them if they are very timing tight. eg 10 mS and above.You can create the delay (or advance) by altering the track settings for playing back early or late. Or use a plug in one one side. Channel tools is good for delaying one side of a stereo image etc..
Slowly increase the delay and hear the stereo effect of it. You could evan try modulting the delay to one side of the vocals, slowly.
I also use this:
http://www.freemusiciansr...-spatial-enhancer-vst/ This is a free spatial enhancer. It is great for adding some sense of room around a signal, mono or stereo as well. It can take your your stereo image now a little further and put it in a nice small ambience space. Don't forget to use reverbs carefully to create spaces around groups of voices etc..
EQ used wisely will help to separate the vocal parts too.