You are right that one of our concerns was that one of our fears was that Stalin would conclude a separate peace with Hitler, even given his earlier assurances that he would never do so.
But given the decision to require an unconditional surrender, followed by nearly-daily raids by (1) hundreds of bombers over Germany and (2) the firebombings of many Japanese cities (the atomic bombs only accounted for 2% of bomb damage to the Japanese homeland), "going all-out for the blood of our enemies" is in my opinion an accurate statement.
Just as most of us today cannot really understand the mindset and emotional states of, say, the white racist mobs who lynched Black men and women in the Deep South for generations, we who have never experienced total war to really grasp how the people on either side felt towards their enemies.
The best description I've ever read concerning how to understand such mindsets is in this following passage by Aleksandr Solzhenitsyn: "To do evil a human being must first of all believe that what he's doing is good... Ideology - that is what gives evildoing its long-sought justification and gives the evildoer the necessary steadfastness and determination. That is the social theory which helps to make his acts seem good instead of bad in his own and others' eyes, so that he won't hear reproaches and curses but will receive praise and honors."
"To do evil, a human being must first of all believe that what he's doing is good." That's something to remember.