Okay, it's not a R3, but the little brother of the R3, the R1, recently went head to head with a pheasant. As you can see from the picture above, its wasn't a very fair fight. The R1 won handily.
I guess this actually worked out to be pretty lucky for the rider. As AutoEvolution writes:
http://www.autoevolution.com/news/yamaha-yzf-r1-one-unlucky-pheasant-zero-video-95903.html#Honestly, this R1 rider was rather lucky because it looks like the pheasant he hit impacted the forks, fitting right between the front fender and the rear lip of the front cowl.
But birds fly, and if one happens to hit the rider or the bike from one side, the outcome may be disastrous. And the weight of a pheasant makes things even worse. We know of riders who almost crashed when a sparrow hit them right in the helmet, or they clipped other small birds with their windscreen.