I agree that the totem pole is not necessary, as the gate current into the FET is almost non-existent. Possibly a series resistor from pin 3 of the 555 to the gate of the fet, and another pull-down from gate to source. Make sure that fet is really off when the 555 output goes low. Still probably over-kill.
To estimate the open circuit volts, place a diode & capacitor in series across the transformer secondary. Use really high voltage types. The dc voltage across the capacitor will equal the peak voltage of the secondary. Connect meter with alligator clips before turning on. After turning off power, discharge the capacitor. You'd be surprised how long those volts will hang around just waiting to bite you. As the frequency is pretty high, you'll only need a small capacitor, certainly less than one microfarad.
With circuits like this, it's also a good idea to use a pot in the RC side of the 555, to vary the frequency. Pick that frequency which gives the highest output voltage.
With those 2 diodes in there, and your choice of resistors, I'll bet the mark/space ratio from the 555 is nowhere near 50%. I think you'll find it will work better if your square wave is more square, rather than a pulse.
Amanda