Mirage,
I'm 2 and half months. Like you, I was concerned about my continual thoughts of drinking.
Thankfully, unlike the first couple of weeks, they have lessened, but are still there since I'm so new at this.
Through the long termers on SR and in my weekly support group, I was relieved to learn that (continual) craving passes.
That hope is what keeps me going on this sobriety path, because I don't think I could do this forever! (the constant thoughts). It also helps me not to relapse, as I've worked hard to get this far and can't bare the thoughts of starting back at square 1.
Having said that, its still difficult as my AV suggests I should test that!
Thanks for your post. Reading the responses gives me strength.
Best wishes fellow Feb.