The antonyms for the phrase "drew parallel" can vary depending on the context. If we are talking about drawing a parallel between two things, the antonyms could be disconnect, separate, or differentiate. On the other hand, if we are talking about drawing a line that is parallel to another line, the antonyms could be intersect, cross, or skew. In both cases, the antonyms suggest a shift away from similarity or exact alignment. Instead, they imply divergence, difference, or even conflict. It is important to consider the context when thinking about antonyms, as the opposite of one meaning of a word or phrase may not necessarily be the opposite of another.