Good question. Based on my admittedly limited experience with the civilian world, most airlines don't seem to care all that much about your specific military background (except if you were rotary wing and then they tend to discriminate against you in favor of your fixed wing brethern). That being said, a tactical jet guy will get hired with less total time than a P-3 or E-6 guy but they come out with less also. It seems that after a 10-12 year tour, fixed wing military guys are all on the same footing when it comes to getting hired by the majors. The helo guys seem to have to get some fixed wing experience first, maybe at a regional for a year or two, but they don't seem to have to get 5 or 6 thousand hours flying RJs that a pure civilian guy might have when he made the jump over to the majors.
I'm not sure what TheBluto is refering to about increased opportunities. I'm pretty much all P-3s and some VR though. If you are already in a pipeline, I'd like it and make the best of it. All Navy flying will be what you bring to it. Each has good/bad. Some things are more important to some guys than other things, i.e. some guys really want the shore basing whereas other guys want to be a tailhooker, to each his own. But in terms of marketability for the airlines in 11 years for you, I'd put most military fixed wing on an equal plaing field. You'll be a 'known product' regardelss of what you fly. And pretty much all the military planes are multi-engine (shout out to the viper guys) and over the 20,000k max GTOW that some apps ask for, exception being the C-12 or T-34 which tend to be the 2nd tour for some helo guys, once again kicking them in the jimmy. Pretty much sucks that way cause some weeks at selection you need jet mins and a pulse and you're an F-18 guy and other weeks unless you are top 2 of 15 you are flying helos. Helo guys can definitely still get to the majors but sometimes they have a longer, more difficult road through no fault of their own.