Societies are meant to be welcoming for everyone but also interesting at the same time. I think the problem may be finding people for this society and you need a good selling point for it. Sure, you say it's a 'sober' society but what are you actually going to do? Just be sober? But what activities will you do regularly? It sounds interesting but i think sober society sounds a bit strange for a society, perhaps looking at changing the name and finding out what makes your society different to the others (because some societies also don't drink alcohol).