For me things are opposite. I suffered from awful insomnia when I was drinking...I would have no problem falling asleep (3 wines and 3 large brandies might have had something to do with that), but ultimately I would wake up after 3-4 hours sleep and my mind would race...worrying about my health etc. I would be awake for most of the night after that:-(
Since I quit...so far I have slept like a baby each night!...so much nicer.
I have also been drinking hot green tea right before bed...maybe that's helping.
Best of luck!