1) Be Approachable.
If Kirk has an office on the starship Enterprise, we never see it. He spends his time in a chair in the middle of a circular room, surrounded by his top deputies. He is in touch with everything, and he is very approachable when his staff bring him information.
2) Your Team should have multiple skills
‘Diversity’ in business usually means ethnic, gender, age and ability when it comes to recruiting. Kirk also has surrounded himself with officers representing a variety of backgrounds and talents. Uhura speaks many languages. Spock is a scientist. Sulu is an ace pilot and a swordsman. Build a team representing a host of skills.
3) Surround yourself with people you trust, and who are different from yourself
Kirk and Spock could not be more different. Spock is emotionless (or tries to be) and spouts rules and regulations. Kirk is a swashbuckling commander who looks for rules to break. They make up for each other's weaknesses, pull each other toward the center, and are stronger together than apart. The key to making the relationship work is the unshakable trust both men have in each other.
4) Don't let technology dominate your actions.
The Enterprise has a talking computer, tricorders and medical scanners. But the officers know when to turn away from the gadgets and make decisions based on their own intelligence, skill and intuition.
5) Have someone close to you who isn't afraid to tell you off.
"Bones" McCoy is loyal to Kirk and an off-duty drinking buddy, but he doesn't shy away from telling his captain when he's wrong. And Kirk listens.
6) Don't let your chain of command keep you from getting the best advice.
The Enterprise is run under a military hierarchy, but Kirk encourages his crew to speak up when they have important information or advice.
7) Know your adversary.
Many "Star Trek" episodes begin with the Enterprise in deadly peril from some alien race and end with a breakthrough of understanding by Kirk and his crew that saves the day. They could just fire away with all phasers (and sometimes they do), but more often they take the time to know what hidden issues their adversaries are dealing with and turn enemies into friends. Kirk is a two-fisted captain and a fierce warrior, but he also is a diplomat.
8) Don't ask your Staff to do what you wouldn't do.
Kirk's willingness to place himself in harm's way alongside his shipmates demonstrates that he wouldn't ask them to take on tasks riskier than he himself would face.
9) Find people who underpromise and overdeliver.
Scotty is always telling Kirk that "I canna give you more than Warp 3" when the Enterprise engines break down. Kirk usually smirks when he hears that, knowing that his chief engineer will have the engines going full blast in no time.
10) Keep the Head office at arm's length.
Kirk reports to Starfleet. But he is the captain of the Enterprise. He is the man in charge at the scene, light years away from the bosses. He generally follows orders from his admirals (with some notable exceptions) but he allows himself a lot of leeway in how he interprets those orders. And the results are better -- both for his ship and for his superiors -- than if he had simply slavishly followed instructions from headquarters.