Premise:
"Even when Realpolitik led the United States to side with dictators and oppressors, it was in the service of maximizing democracy and human rights in the world at large--a goal we in fact achieved."
Hypothesis: The United States has never sided with dictators or oppressors.

no

Premise:
"The other one, I don't remember.""
Hypothesis: I cannot recall.

yes

Premise:
"That would be relinquishing a dream."
Hypothesis: That would mean letting go of a dream.
yes