Insurance and capability aside, actually I think all you would need to fly it is the type rating.
MEP - multi engine piston. Doesn't apply to a jet.
MEIR - you will need this if you want to actually operate your jet meaningfully. You can fly it without but to get the full utility out of it you'll need an IR.
JOC/MCC - nope, this is an airline thing. I don't think it's a prerequirement. Might be a good idea though.
ATPLS - you'll need these to start the IR. CPL - doubt it.
I standby to be corrected on the above...
What will be more important is experience and hours. I would suggest going along the lines of the following route;
Cirrus, PC-12 or similar SET, Mustang. Your mileage may vary.