Here is the foot ratings for HID lamps. Yes 600watts for that cabinet is overkill.
4’x4’ 400 watts
The only way you could run such a high wattage in this cabinet would be to have at least a 6" vortex fan to exhaust, and very cool AC temps to draw from. It is going to get HOT!!!
I suggest you look into a 400w switchable MH/HPS with power settings. I have an Ipower 400w digital I bought off ebay got $100.00 bucks, approx. It switches down to 200 watts or 300watts. Regular high setting is 400 watts. I love this lamp. Came with both bulbs, hangers, reflector. Everything. Had it for a year with no issues.
If you can use a smaller lamp; You may be able to use a range hood with carbon filter. I just do not believe you could control temps with a 600watt lamp.
Hope this helps. Peace.lw