I had a similar dilemma.
My worry was that people would automatically think I was no longer fun, or fun to be around. I may be the exception to many here in that I'm an extrovert whether you add alcohol or not. I was desperately afraid my best friend with whom I had spent many adventures drinking would no longer think it was a blast to spend time with me.
It took some time to warm up to but 98% of my friends completely respect the fact that I don't drink and they know I'm essentially the same person. I am sure I'm also the exception to the rule here, but those same 98% friends drink and mostly come from a drinking culture- yet they are fierce in their friendship and loyalty to me and wouldn't hand me a drink if I asked.
I'm extremely lucky and I know that. Every day I wake up knowing exactly what I did the night before and not having a hangover. That's a miracle.