I don't find that most travelers are with big groups or extended family. I find the opposite to be true. But maybe that's because those that travel in large groups mostly socialize among themselves??
Anyway, I find that cruising makes it a lot easier to socialize with "strangers". While in WDW or other resorts, every family is going their own way. So you may casually interact while coming or going. But on a cruise, you are with the same "strangers" all week and put in situations that make it easy to interact with other cruisers (if you are seated with another family at dinner; participating in a "game show" or bingo or whatever). We have made plenty of friends while cruising, some are friends for just the cruise, some for longer that we keep in touch with via Facebook and some we've kept in closer touch and have caught up with on other cruises. How much or little you want to socialize with your fellow cruisers (and the crew -- they are fascinating people!) is really up to you.
If you are just looking to bond with your family, you can certainly do that. If you find yourself needing a break from your loved ones, those opportunities are there as well.