Final answer:
Barry Goldwater believed the two conflicting forces were the overreach of the federal government and conservative principles favoring limited government. He opposed the 1964 Civil Rights Act based on his conservative values, emphasizing states' rights and individual liberties.
Step-by-step explanation:
According to Barry Goldwater, the two forces in constant conflict were the perceived overreach of the federal government and the tenets of conservatism that advocated for limited government intervention. As a leading conservative and Republican nominee for president in 1964, Goldwater emphasized his belief that the federal government was becoming too large and too intrusive, which went against the conservative values of smaller government and greater individual liberties. His opposition to the 1964 Civil Rights Act was based on these principles, and he feared that forceful federal intervention in matters of state governance would not only infringe on states' rights but could also exacerbate racial tensions rather than ameliorate them.