Well, it's either the light bulb that is dropping the voltage down to 56V or the MOSFET turning on too slowly, or both (and I would wager that it's more the light bulb -- especially since you're driving the MOSFET at 16KHz--a low enough frequency that the slow turn-on time may not be as much of a factor).
Does the MOSFET get hot?
And, increasing R1 to 1MΩ will make it worse -- i.e. wrong direction. You need to charge the _parasitic_ capacitors in the MOSFET. T=RC, thus, greater resistance = greater time. You need it to turn on in _less_ time. Also, I'm assuming that the intent for R1 and R2 is to create a voltage divider to prevent the gate voltage from going above 12 volts. But using two 10K resistors will divide the voltage down to 7.5V. I would make that more like 10V (unless you are using a "logic level" MOSFET, in which case 7.5V is plenty).
So how about:
# choose 1K ¼W for R2 (chosen to avoid resistors higher than ¼W also, highest, typical, capacitance involved is around 500pf, T=3RC [time for 95% charge], T = 3*1K*500pf = 1.5µS (plus around 20% more for charging the gate capacitance) -- still kind of slow, but probably fast enough for this.
# 10V across R1 leaves 5V across R2 (15V - 10V = 5V)
# 5V / 1K = 5ma (the current in the series circuit formed by R1 and R2)
# R2 = 10V / 5ma = 2K
BUT, the real issue is the fact that you are trying to drive a 180 Volt motor on a 240VAC line (240V * 1.414 = 339V - diode drops ≈ 335VDC). Putting a light bulb in series isn't going to drop the voltage consistently enough to make this work. You are dealing with "stall current", i.e. the current it is drawn by the motor as it starts up--has to over come static friction, inertia, etc. Also, IF the light bulb trick will, by some remote absurdity, then you need a 120VAC lamp, not a 220VAC lamp, and it needs to be more like 1600W [9A*180V] -- i.e. you want to drop half the power.
Also, 1 horsepower = 746 watts. P=IE, thus 2.2HP*746W = I*180. Whip a little algebra on that and you get a little more than 9 Amps!! BUT, that's probably the peak HP, and when it's up an running, as long as the mechanical load is not excessive, the running current may be less, but I must assume that it will run at 9Amps, until I have further data. If you determine otherwise, then extrapolate.
The stall current will definitely cause the motor to draw way more than 9Amp (unless, of course, as I said, the 2.2HP rating is the peak, in which case the stall current may be 9A)-- BUt, it probably can't draw that current because of the light bulb in series. What does your circuit breaker trip at?
Also, that 470uF capacitor isn't going to do squat to filter out the ripple at those currents.
C ≈ IT/V where I is the current (whatever the stall current is -- let's say 25amps), T is roughly the time gap between peeks (≈8ms), and V is the ripple voltage -- lets call it 12 Volts
C ≈ 25A*8ms/12 = 16,000uF at around 250WV.
You need some kind of regulator or step down transformer -- one that can handle the highest current involved. That'll be one hefty transformer. Let's say a 240 to 120VAC voltage converter, because those will be more readily available than a 240 to 127V (180/1.414=127VAC) transformer, so if we use the estimated stall current (might be more), then the transformer needs to handle: 25A*165V ≈ 4KW.
Again, redo the math, if you determine that the stall current is more like 9A and the running current is less.