Views work with fields, and therefore a view won’t work if you haven’t marked a field on the document of the ‘expected respondent’ form that no answer was received. You can solve that in an agent (or an action): simply make the code loop through the View2, and lookup the respondent in View1, if it doesn’t exist then you mark the document with ‘NoResponse’, and make your new view select on that field.
If you do not want to fill another field then you can make an agent or an action that places a document without respondent in a folder. The logic of such an agent or action is pretty much the same: loop through View2 and lookup the respondent in View1; if not available then place the document in a folder. You can make a shared folder that appears in the ouline, as long as you know that no one else can place or remove documents from that folder.