Bay Bridge & freeways in CA require a minimum of 150cc. I'd like to at least be legal to utilize them minimally. But I think I would need closer to 500cc to expect to access them with any frequency.
You couldn't pay me to take anything 150 or 200cc onto a California freeway.
If traffic is 100% stopped you'd be fine, but if it's flowing - especially off and on - you'd never ever keep up with traffic. You'd create a hazard.
Edit: Let me explain. That 200cc scooter, for example, has 15 hp and 11 ft/lb of torque. It weighs 297 pounds dry. Let's be generous and say that you, all your gear, whatever's in your top box, and all fluids in the bike combined weigh 203 pounds total. That puts the total weight at 500 pounds.
That's 33.3 pounds per horsepower. Even the very shittiest econobox of a car is a rocketship compared to that scooter.
The Smart Fortwo, which is a pile of garbage masquerading as a car, has 23.0 pounds per horsepower. It, one of the slowest cars you can buy, is 1/3rd more powerful than that scooter.
The Mitsubishi Mirage,
which is evidently the very slowest car you can buy in the United States and takes 12.8 seconds to get from 0 to 60 mph has 29 lbs per horsepower and is therefore still more than 10% faster than that scooter.
Not only that, those cars have multiple gears with which to use that horsepower. You, with one gear from 0 to 60-whatever, will be the absolute slowest thing on the freeway. In my opinion, that is a dangerous situation for anyone on two wheels.
In contrast, a 300cc bike like the Ninja 300 or CB300F make 25-30 hp but weigh the same-ish. The Rebel 300 makes 25-ish hp but weighs a hundred pounds more. They're fully twice as fast as the scooter... and still considered 'too slow' for the freeway by some. Those bikes are about as fast as a normal car. 500cc bikes are in the 40-ish hp realm.