OK, I managed to put two EditViews in a single page, one is for calls, one is for contacts.
The problem is sqs (quicksearch) is not working.
One part of the problem, is that the generated javascript code always overwrites sqs_objects object, thus holding the final values of the form that comes later.
The more difficult part of the problem is that quicksearch javascript identifies form elements by id AFAIK, and since both forms have lets say <input id="team_id" name="team_id"...>, this will cause a mess with sqs rendering these fields unusable (in firefox at least).

Is there a way to get around this problem without the need to rename the fields?