From Dunlop's site:
"Can I change my tires from bias ply to radial or vice versa?
Bias and radial tires have significantly different dynamic properties. They deflect differently, create different cornering forces, have different damping characteristics, as well as other differences. In order for radial tires to be introduced into the two-wheel market, it was necessary to change certain characteristics of the motorcycle. The introduction of the radial tire led to such things as modified frames, wider wheels, new steering geometries and suspensions. Therefore, it is recommended that a motorcycle be used with the type of tire construction that it came with originally. If a change is to be made, then it should only be done if the motorcycle or tire manufacturer has approved the change. Above all, do not mix bias ply and radial tires on the same motorcycle unless it is with the approval of the motorcycle or tire manufacturer."
From RevZilla's site:
"Can I mix radial and bias? What’s the difference? Does it matter? My bike came with bias, can I use radial or vice-versa?
Well, again – we at RevZilla respect a customer’s right to choose. However, if asked, we only recommend sticking with a manufacturer’s recommended tire construction type.
To be brief, radial tires offer lower temperatures (leading to longer life), stiffer construction, and the ability to make tires with lower aspect ratio sidewalls, resulting in less flex.
Bias-ply tires offer a softer, more compliant ride and typically, a little lower price. Their other main advantage is load-carrying capability: in a given size, you’ll typically see a bias handle weight better. It explains why Harley (a big player in the heavy-cruiser market!) and certain touring bikes use them.
Interestingly, for some manufacturers, a mix of bias and radial tires are factory equipment. You’ll see the mix with radial rear and bias front tires, but we do not know of any combinations in reverse. Anecdotally, folks have run mixed tires with success in the past. However, most riders doing such a thing are usually aware of what they’re doing, hyper-vigilant about the fact that something negative could occur, and experimenting with a specific performance characteristic as an end goal. With that said, RevZilla does not have a problem with a mix of radial and bias-ply tires, as long as that mix is in keeping with the OEM recommendations, and the tires are in their correct OEM positions (Bias front, radial rear)."
Can mixing tire types be done? In a word - yes!
Should it be done? Personally, I wouldn't do it on a bike of size and power of ours. that said, I'm an aggressive rider and therefore this is a more critical issue for me and my riding style than it is for others.
I was the first here to use the Exedra Max rear, the first to try the Michelin Commander II 140 up front and the first to match the Exedra Max radial in back with the Exedra Max radial 130/70ZR 17 up front.
The Michelin provides vastly improved turn-in and steering response in addition to making the bike feel about 150 lbs. lighter than it is. The 130 is even better, improving steering and handling commensurately and further lightening the feel of the Beast as well as seriously improving its flickability and tracking, however it may be too aggressive a set-up for the casual, everyday rider. It also creates a pretty sizable gap between the fender and the tire, easily remedied by drilling out and dropping the fender.