Private jet; what utter and complete drivel!!
The military pilot has come through an exhaustive selection and training system and will have been exposed to flying operations that you could only dream of doing on your flight sim. They have been taught to plan, think and manage from day one and if some of that is carried over into the more touchy-feeely-don't upset anyone-civvy world then that is understandable. The nature of service life makes you flexible and, for the majority, assimilation into the civilain world is straightforward.
Military flying (even for the 'truckies') is a different ball game compared to the civil world and undoubtedly some mil pilots might need more time to adjust but never underestimate their ability or experience. They have more in their little finger than you'll ever have at the front of your Citation. That's not to say that your basic handling skills are any less good than a military pilot's but the 'world' in which they have been operating would, in the main, leave you standing.
And I'm not an ex military pilot.