So to narrow down where they came from here are some facts:
In the 1916 census, the family origin was Austrian. Everybody was born in Austria.
In the 1921 census, the family's origin was Russian. Everybody was born in Austria.
In 1916 the family spoke Polish however I know that the family did not speak Polish but Ukrainian.
In 1921 the family spoke Austrian.
In 1940 Mike states that he and his parents were born in Ukraine.
In Mike's obit it states he was born in Ukraine.
My next steps:
Keep looking for them in a passengers list.
brush up on the history of boarder changes in area of southwestern Ukraine/sotheastern Poland during these time periods.