No. There were efforts in Italy to move all or parts of it under US control. The Italian Unionist Movement wanted Italy to be annexed by the US and received .3% of the vote in 1946. They wanted the US to annex ALL free democratic countries and become a world government with the mandate to prevent conflict. It disbanded in 1948, they should have waited 60 years.
There was a Sicilian separatist party around 1944, The Party of Reconstruction, who thought Sicily had done poorly under Italian control and wanted the US to admit them as a new state. They dont seem overly popular either and I'm fairly confident in estimating that either option was not of much interest to the US government.
Not really. As /u/Thecna2 stated, the Italian Unionist Movement wanted Italy to be annexed by the U.S. There was no support from anyone significant in the United States.
In the 1950s, Rep. Howard Smith (D-Va.) said on the U.S. House floor that he was opposed to statehood for Alaska, Hawaii, Puerto Rico and any other territory not attached to the mainland. “I want to keep the United States of America on the American continent," he said.
That's from Fighting for the 49th Star by Terrence Cole. It's a book about Alaska statehood and it mentions the Italy item in passing.