In my experience, anxiety-induced insomnia is an entirely different beast. I went through CBT-i and had a strongly negative experience: its strict rules made bed and bedtime feel like a prison (now I can't even lie quietly in my bed?!), and it made my insomnia even worse. More generally, "optimizing" for sleep, thinking about it at all, seems like a horribly counterproductive thing to do for somebody anxious.

Mindfulness meditation has been an enormous help for me also. It's not an exaggeration to say it's been life-changing. Vigorous exercise (it needs to be vigorous) as much as possible has also been great.