It was easier getting sober right away by tricking myself into thinking alcohol simply wasn't available to me anymore. It helped early on, but in the end I changed my thinking to echo yours.
Of course it's available. It's everywhere. Once I acknowledged that truth, I changed my mantra. Sure, I CAN drink. But I don't want to. Sounds like you have learned to trust yourself - that's huge IMO. Nice work, thanks for the post - you are certainly gaining some insight, it's encouraging to hear your progress!