Are people that have anxiety disorders more prone to commit suicide?

Increases risk. While most people with anxiety disorders do not become suicidal, research reported in the journal of epidemiology and community health (2005), showed that they are at increased risk of suicide. Studies have shown that anxiety disorders, both alone and in association with other mental illnesses, are a significant risk factor for suicidal thoughts, attempts, and completions. Treatment helps.
Yes. Untreated and/or severe anxiety is one of many risk factors for suicide national suicide prevention lifeline '1-800-273-talk (8255).