Sobriety is definitly more of a mental battle than a physical battle, that's where the battles and the war is won or lost.
I disagree though on the phrase "no matter what I do I will drink", that's simply giving over all the power to alcohol and saying it's inevitable and there is nothing that can be done, we need instead to get that out of our thinking.
There are many things that can be done, Sobriety could never be achievable if the battle is already lost, when our addiction kicks in on a particular day, support, having a plan, no one one forced me to buy alcohol and no one forced me to drink it, if I sat in my house and didn't go anywhere I wouldn't drink, extreme measures may be required but we can short circuit our addiction if we want to!!