The future of high-MPG lies in streamlining, light weight and small engines. IMHO.
Turbocharged and fuel injected.
I agree that streamlining can do a lot for efficiency and I’ve always wanted one, but how do you solve the cross-winds problem? The only solution I can think of are gyroscopes like the Lit Motors one, and that’s kinda like the fuel vapor engine: If it were such a good idea and the tech has been around so long, people would have done it. I’ve been on I-5 with crosswinds trying to blow me into the truck in the next lane, and I’m glad I wasn’t riding a streamliner that day!
Electric is ideal solution as long as you're not covering long distances every day. And have access to power.
"If you change the way you look at things, the things you look at change."
Another possible solution would be to have electric bike, but with a tiny petrol generator. Compact high efficiency (maybe 3 kW) generator that starts automatically and supplements the battery when it drops low, stops at half a charge. Can be manually stopped and started. You could use it to charge the batteries when stationary, but you will lose some efficiency when doing that. On the other hand the generator could be run at maximum efficiency RPM to counteract the losses while charging.
Axial flux motors are not evil. Can be the best option in some circumstances. But to me they are more like a solution in search of a problem.
I thought about the series-hybrid approach, but I looked up the efficiency of the best compact generators, and you’re only going to get 40 to 50 MPG once you convert it back into an electric motorcycle’s traction power. For the best efficiency, you need the gas motor’s to drive the rear wheel for cruising, and let the electric system take the brunt of acceleration. The best I could come up with is a Goldwing-sized bike with a ~400cc gas motor that gets most of its acceleration from the electric motor (EMCE or similar) and has a ~40-mile all-electric range. You’d effectively get something around 90 and 150 MPGe on longer trips, and could cover your local trips on pure electric.
It could work on paper, it would just be hard (and expensive) to design around all the constraints and hit the sweet spot in so many different areas on the first try. Kawi didn’t pull it off, and they’re a huge company with lots of talented engineers and resources. I’d love to see an OEM try to make something like that, but it would honeslty probably flop. The electric enthusiasts wouldn’t buy it because “eww, gasoline,” and the petrol-heads wouldn’t touch it because “eww, electric.” That’s not to say I wouldn’t love to see it happen. I’d buy one.
Existing motor tech works just fine for bikes. Anything involving combustion is a dead end, defeating one of the key issues facing civilisation today, which is decarbonisation of the entire economy. Free energy from the sun is where it's at.
Everyone's main concern still seems to be range and charging speed, and that's almost a solved problem - the tech exists, it's just not yet deployed. Unless Zero go bust in the next 10 years they'll have a genuine 200 mile range bike that charges in half an hour.
Cas 
I agree with you, but there’s a long transition in the meantime. I once thought that pro-EV policy could and should speed the transition up, but now that I’ve been studying and working sustainable transportation for the last 7 years, I realize that subsidies and mandates are just as often harmful as helpful. Looking at motorcycles, at the current rate of battery density advancement, the Experia could have a 200-mile range by the early to mid-2030’s, but it would still weigh 570 lbs, still cost $24k, and still not have liquid cooling of the battery without giving up some of that range. To have faster charging, 180-mile range or more, similar weight as ICE, and price reductions, that’s at least 20 years from now, and gas tech is also going to improve in the meantime.
So in 20 years, an electric motorcycle can finally have similar range and utility to my 2007 FJR1300, which will be about 40 years old by then. Not saying I wouldn’t rather ride electric, of course, just pointing out that we’ve got a long way to go without some major breakthrough, and it’s just as likely for ICE technology to have a breakthrough during that time as for battery-electric.