2 ohms, when measured with a DC source is not unusual. A DC source doesn't measure the impedance, just the resistance. When connected to an AC power source, the impedance is just as important as the resistance.
Anyway, my real point is that some motors have one capacitor that is for starting AND running. If that capacitor goes bad, the motor won't start or run. If it were me, and I was tight with my cash, I'd try replacing the capacitor before replacing the motor.
I did try to look up the specs for this motor, by MagneTek was bought out by A.O.Smith, and I couldn't find the specs.