I would change both....(someone may correct me on this one --- I believe the old-school dunlop 208 to have less grip than the newer qualifiers... even though the qualifiers replaced the 208's)
Me personally, I wouldn't like my front tire to be the tire with less grip. (i.e. you will lose the front end, before the back end breaks loose....)
If anything.... I would run the tire with the most grip on the front.
I like the Michellin Pilot Power 2ct Front, with a Pilot Power normal on the rear combo....
Though --- I realize your question is more a tire profile question, rather than a grip question....but, if you are worried about how quick the turn-in is on your bike... then you probably should be concerned with the amount of grip it has also.