Final answer:
The most inconsistent fact with Barry Goldwater's expressed opinions is his urging of Richard Nixon to resign due to the Watergate scandal, as it seems at odds with his conservative stance emphasizing limited federal government oversight.
Step-by-step explanation:
The question focuses on identifying which of the listed facts about Barry Goldwater seems most inconsistent with the opinions he expressed as outlined by Roberta Hornig and Allan Dodds Frank. Considering the information provided, the most inconsistent fact would be Goldwater urging Richard Nixon to resign due to the Watergate scandal (Option B). Goldwater's conservative stance often emphasized the limitation of federal government oversight, which seems at odds with his active involvement in pushing for the resignation of a sitting Republican president. However, this inconsistency might reflect Goldwater's strong commitment to principles over party allegiance.
Goldwater's opposition to the Civil Rights Act, as well as his efforts to curb the power of the federal government and his role in the resurgence of the conservative movement, are consistent with his publicly stated beliefs. Therefore, these do not represent inconsistencies. His landslide loss in the 1964 presidential election to Lyndon B. Johnson (Option A) is merely a historical fact and not an opinion expressed by Goldwater, so it also does not represent an inconsistency.