The number one career takeaway I have for my current success is networking internally with the company to know where to go for advice. One can argue that networking is also important to find a job and that may in fact be true but networking did not help me find a job.
In general most organizations likely don’t care about what you did in the military, nor do they care how many medals/awards you have or that Top Secret Clearance. Most civilians know very little about the military and they likely have formed biases based on film and or people they may know who serves or has served … but they really may not understand how we operate and what we’ve gone through. Individually the people in the organization will say they're impressed, thank you for your service, listen to your war story and be polite and then move on. Because of these preconceived notions some people may be afraid of how they think you lead and interact this can be an advantage or a disadvantage. If you are not humble and don’t know how to influence (not give orders) take criticism or work across functional lines to leverage diversity as a team member you will struggle. Understand that it is pretty real possibility that if you join any organization that you may have more leadership ability then your peers and perhaps even the people you report to—you need to find a way to make that chemistry work and not get frustrated. Network and reach out to other vets in the organization--you might be surprised that the organization has an employee resource group to assist.
Lastly I will add that I’ve interviewed quite a few veterans for roles in our company. Make sure you understand the mission and values the company holds dear also realize that the interview is a two way street … you are interviewing the company as well as the company is interviewing you for a good fit.