Welcome to the forum, David!
Nice looking bike! Probably a bit too nice to chop up.
Of course it's your bike and yours to do with as you choose...but...I really don't think these airheads lend themselves very well to the cafe look. Then again, I don't think the early cafe bikes lost their fenders either - too wet and sloshy over there in England where the whole thing originated.
A mod I like is lightweight alloy or stainless fenders to give it more of that British bike look. These things are touring bikes at heart, and turning them into a good looking sporty bike isn't too tough, but a full out race bike often doesn't come off too well. And a bike without fenders --- well, where you're at, rain isn't much of a problem, but up here in rainy old Portland, it'd never get ridden.
I'd suggest riding the old girl a while, as is, and let her speak to you.
Take a look around, see what others have done and decide for yourself. There are some funky aesthetics to the R65, a lot of which can be remedied with a larger headlight, different gauges (or the dashboard thing), custom tank, seat, and alloy fenders. And, of course, low(er) bars!
Funny thing is, the longer I'm around the bikes, the better they look stock, just as they are. Weird, huh?