You are equivocating.
The closest non-human ancestor to humans, one that we share with chimpanzees, is indeed not a monkey. This particular common ancestor is usually the focus of discussion and is what we 'evos' generally address. However going farther back than the common ancestor between Humans and chimps, and of humans and gorillas and of humans and orang utans, we do end up sharing an ancestor with monkeys. The first 'monkey' relative we have are old world monkeys with whom we share the common ancestors of new world monkeys.
The phylogenic tree, which was originally based solely on morphology, is being shown to be highly accurate by corroborating evidence taken from genomics.