I can't think of many restaurants where they seat you at a table with other groups.
You're seated at the same table with other groups at Germany, but that's a buffet instead of a family style.
At Sci-Fi Dine-In, you may be seated in the same car with another group, but since you're all facing forward in rows, there's some degree of separation. Sci-Fi has an ala carte menu, so again, not a family style.
At the Luau, which is a family-style, they pulled our table of two every-so-slightly apart from the table of four immediately next to us. Except for those few inches of separation, it felt like we were at the same table with them. Each group got our own family-style platters of food, though.
The other place where we've shared a "table" with others was in Japan, where we sat around the habichi grill with another family at Teppanyaki. That was an ala carte menu.
Are there other places where they combine groups at the same table? If there are, I haven't tried them yet.