The antonyms for the phrase "most unglued" are "calm," "collected," "composed," "organized," "together," "controlled," and "self-possessed." These words describe someone who is in control of their emotions and can handle difficult situations with ease. They are not easily flustered or overwhelmed and can maintain their cool under pressure. They are grounded and centered, with a clear, focused mind that allows them to stay on track and achieve their goals. In contrast, someone who is "most unglued" would be characterized by chaos, confusion, and an inability to control their feelings or reactions. They may be prone to outbursts, panic attacks, and irrational behavior, and may have difficulty managing stress and anxiety.