I will actually answer your question, unlike the previous ones before me, who probably don't realize that lane splitting is indeed permissible and is actually intended to relieve the congestion of traffic... but then again, they're probably sitting angrily in their cars, who don't even own a motorcycle, and are just upset that we're splitting lanes, instead of realizing that it's pointless for a vehicle that can get out of traffic and not add to it, to sit there. [/rant]
Anyways, yes, you can split just fine with your bike. Technically, you could split with a cruiser; you just need to relearn how wide your bike is. Just because a motorcycle is naked or not, doesn't mean that it's going to split any better. That's more like the placebo effect, where you are able to do something, because you believe something is helping you do it better. Just get a feel for the width of your R1 and you'll do fine.