I agree with Bob P. If you like it, go for it. Some of our favorite restaurants are not DIS favorites. I tend to agree that maybe a finer dining establishment to celebrate your big day might be more appropriate as Fulton's is a busier place, but that being said we've eaten there twice. Both times the food was great - once the service was good and the other time it wasn't. However, we're going back next year and looking forward to it. If you are interested in the menu, go for it!
Other seafood places that might offer a more luxurious environment are Flying Fish or bluezoo at the Dolphin. The other signature restaurants on property are California Grill, Artist Point, Yachtsman Steakhouse, Hollywood Brown Derby, Jiko, Citricos, and Narcoossee's. (Am I forgetting one?)
That being said, if you want to go to Fulton's, go and enjoy! I do enjoy it and think you will have a great time if you go. Go in open-minded and looking for positives and that will help any dining experience, even at the fancy places!