You could easily do what you suggest by making a mounting shaft from the generator that you have, to the driven axle of a car. A bit of shafting, some plate, drilling and welding and you are there!
You would have to jack up the front end of a car, take off the front tire, then attach the mounting plate onto the studs of the tire instead. Then you would have to chain the other tire of the same axle so it would not turn due to the differential, and put a stick from the back of the seat to the gas pedal to get the right speed.
You might have to shift the car manually into different gears to get the right speed, but it would get the generator spinning at 3600 rpm which of course would net you 60 cycles per second for a frequency. To check that you could either use a remote rpm checker on the generator shaft, or get a load center to see what the frequency is being put out...the latter being the better idea.
You cannot use a Fluke Meter because they do not accurately pick up the frequency output on a small generator unfortunately.
It is kind of redneckish, but it would get you there.
But a person could do this with a PTO generator too, and for very little money have a lot of power for backup power. How refined it gets is up to you. It could be as redneck as an old junk car bought for $500 that is no longer road worthy, to as simple as a set of rolls that you drive your pickup on to spin the PTO generator shaft, or as involved as what I have done with using a stand alone engine.