Whoops, I put the diodes upside down and a ground is missing. Other problems? Do you need a revised schematic?
Is there some reason why you have
NOT provided a complete and accurate schematic for this thread?
I have a zener diode to limit gate voltage, sorry not shown in the schematic.
How are we supposed to know about that, when you deign it not important enough to include on the schematic?
Why did the so-called "Tesla Coil" change from 1:200 turns ratio in your original post to a 1:1 turns ratio, as shown in IMG_0059.PNG in your post #6? How does the "ground" end of the secondary winding couple a feedback signal to cause oscillation in the circuit? What waveforms are expected and measured at the emitter of the NPN transistor driving the MOSFET gate? Why is the MOSFET biased into conduction most of the time? How much current does the MOSFET draw from the 60 VDC supply? Are you aware of the pulse-width and duty cycle limitations of the MOSFET?
Please re-draw the schematic to (1) include ALL components present in the actual AS BUILT circuit with (2) ALL components identified by nomenclature such as Q1, Q2... R1, R2... D1, D2... T1, T2... etc. and (3) ALL components identified by part number, value, and/or manufacturer's part number. For example: Q2, IRFP450A n-channel power MOSFET; or R3, 700 ohm, 10 watt non-inductive power resistor, Vishay part number ... ; etc.
It would also help us to help you if you provided a link to whatever Internet page you found your original drawing, which appears to be a "screen shot" of an unspecified schematic-capture program that you ran on your personal computer. Also, Tesla coils are invariably custom, hand-made designs, no two exactly alike. They are also high-Q, resonant, air-core transformers that always operate in a pulsed mode. They are difficult to model accurately in simulation programs. Knowing how your coil is constructed could help us to determine what is wrong with your "Tesla Coil Driver" circuit.
There are also "flyback transformer" circuits that, while resonant and using ferrite magnetic cores rather than air cores, are sometimes called Tesla coils. Hobbyists often start with these in their attempts to build and understand high-voltage circuits. If that is what you are trying to drive, perhaps a flyback transformer salvaged from an old television set, please let us know that.
It should be possible to drive almost anything in pulsed mode with the IRFP450A power MOSFET, but because transformers store energy in their inductive fields, protection from "spikes" that occur at fast-changing current edges is absolutely necessary. A few digital storage oscilloscope (DSO) images could help you discover where the problems are that lead to MOSFET failure.