They have slipped on me a few times and I was hoping for stickier tires.
In this case I believe the tyres themselves don't have anything to do with the slipping, I'll explain a few things I feel you may want to consider before replacing tyres.
Firstly, suspension setup is an important factor when it comes to bike handling/grip, I would strongly advise that you watch some of the videos by Dave Moss, quite long videos but some very good info, to start you off;
Setting Sag;
[ame=http://www.youtube.com/watch?v=mK3flKxf41U]Motorcycle Suspension - Setting Sag - YouTube[/ame]
Chassis Balance;
Dave Moss Unsprung: Chassis Balance, Dave Moss Unsprung: Chassis Balance Dave opens the show with a suspension topic/lesson followed by live Q&A from the ...
There are many more of the unsprung series on onthethrottletv's ustream channel, including the two clicks out series on YouTube.
Secondly, you may want to consider riding technique, Keith Code's California Superbike School, in my opinion, is one of the best training schools out there. I would strongly advise watching the Twist of the Wrist 2 film or reading the book, a lot of very good techniques that make a huge difference to how you and your bike interact whilst riding.
The reason I think this is the case, is that having just returned from a track day on my FZ6 with Michelin Pilot Road 3 tyres fitted, I can report that I experienced absolutely no slipping at any point during the day (7, 20 minute sessions), having reached both edges of the rear tyre and setting respectable

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lap times. (Standard suspension, Racetech front springs of the appropriate rate for my weight, sag set correctly, forks raised 8mm through clamps, damping pretty good on both ends).
I can report similar results on the road, with the tyre having only slipped twice since fitted, both in wet/damp conditions on roundabouts (likely caused by oil/diesel).
Going back to the actual question of fitting different front and rear tyres, I personally wouldn't do it, as tyres are (as previously mentioned :thumbup

designed to work in pairs. Differences in compound, hence grip also have the possibility of causing very strange handling characteristics at or near the limit of grip, for instance a 'grippier' tyre fitted to the rear may tend to push the front tyre into a slide near the limits of the front tyres grip, which isn't particularly desirable.
Hope this helps you out, please let me know if you would like any other links etc.
Cheers,
Yamahaboyz