I'm not oblivious to child behavior. I have a hard time thinking that Disney would 1. separate our group and 2. expect adult members of a group to sit apart from each other. I believe the actual chance of us being separated is very small, but in the situation that we are, this is the situation I came up with.
As children (and yes, at home AND in restaurants), my cousins/siblings and I were seated away from our parents at times. We were all expected to behave as we would if we sat with our parents, and I remember no incidents where our behavior was less than appropriate. I don't see how if adults are sitting at a table a table in sight of the children, that it could be an issue. Obviously someone would intervene if they saw/heard inappropriate behavior.
I can't remember wish restaurants said we may be seated apart, but the ones where we are going as a party of 7 are:
Rainforest Cafe (2pm lunch)
Cape May Cafe (9:05am breakfast)
Kona Cafe (9:35am breakfast)
Ohana (6:50pm dinner)
Boma (9am breakfast)
Tusker House (9:10am breakfast)
Olivias Cafe (9:15am breakfast)
I think two of these suggested that our party may be seated apart.