I don’t see anything to indicate that they had any desire to take the war to the United States. Hitler did not want war with Britain. He believed, even quite late into the war that he could be friends with Britain, and that the war between them was insensible.
Hitler admired Britain and wanted their assistance. When he found that wasn't going to be the case, things changed.
Had he had the opportunity...he would have most definitely attacked the US. It may not have been in his initial plan, but as his madness increased and he saw that his “master plan” may not be accomplished, his insanity and fear of loss saw no bounds.