Do nonbenzodiazepines z drugs like ambien and lunesta (eszopiclone) disrupt sleep architecture?

Yes: Actually, Ambien and Lunesta (eszopiclone) are benzodiazepines they have more specific activity for selective receptors directed at sedation, and have a short half life or time in your system, but they affect sleep architecture just like other benzodiazepines or alcohol, just in a milder manner.

INSOMNIA: Getting good night's sleep is important for physical & mental health. Insomnia might be due to several reasons. Have a physical exam to rule out illness. If cleared consult with a Clinical Psychologist with expertise in multiple types of psychotherapy that helps you benefit from medication prescribed by a Psychiatrist. If uncomfortable with your Dr. seek 2nd opinion. You may need a sleep study.