Hi Leah,
I found a whole cache of these questionnaires in Jerusalem at the Centre for the history of the Jewish People. I managed to find some relating to my cousin Fritz Lichtblau. He and his mother Marie got support form the IKG to emigrate from Vienna  to New York. I think I also found a questionnaire for my uncle Fritz THORSCH  but I am not sure where I have put them.
As I understand it from an exhibition in Vienna I saw at the Jewish Museum there a lot of the IKG papers and documents were sent to Jerusalem for safekeeping during the Nazi era. The Centre allows researchers to look at their material but they do not do any research. I made a trip to Israel as I wanted to meet some cousins I had found and went to the centre which is on a university campus in Jerusalem and did the research there.
My uncle Fritz THORSCH  aunt and cousin managed to get entry to England first and then to USA. The Ellis Island (in New York) records are available and I found my family arrival  there too. If any of your family got into America they would be in the naturalisation records there. You can also check the American census records online.
Good luck with your search.
Daniela torsh
Sydney