Here's my 2¢!
First and foremost, in my experience Rottweilers LOVE Marines, LOL! I've had two Rottweilers, and my son was also in the Marine Corps (7 years). Not only have both my dogs (owned at separate times) adored my big, tough, Krav Maga student, good hearted Marine of a son, but all his big, tough, Krav Maga student, good hearted Marine friends as well. So you've got that covered. My Luna used to love to take turns body slamming the kickboxing punching bag in the garage with my son...LOL...and she was a sweetheart of a Rottweiler.
Second, I've always had one dog, one cat. If you have a good "dog" cat, you should have no serious problems. My cat loves to wrestle with Chili, and is usually the instigator of any horseplay between them. Chili has learned how far to take it (through my supervision), and has developed an attitude of amusement at the kitty's efforts to "take her down".
Third, a Shar Pei is strong-minded like a Rottweiler, but I think you'll find (as I have - having a Shar Pei in our office each day) that a Rottweiler is MUCH more receptive and responsive to direction, hahaha.
And finally, an adult dog that receives adequate interaction/companionship when you are not at work will simply sleep the day away, so I don't consider that a problem, either.