I'll be honest and say that I'm really not a martini kind of guy. It's largely because of that that I don't really get the attraction of this place. They have a gigantic menu of Martini's that really is friendly to someone who doesn't know their away around a stirred drink, but is also somewhat overwhelming. Reading through the menu can take a long time, but it's also a great point of conversation.
The few times I've been, it wasn't too busy, and I rarely see it packed with people when I walk by, but Eat My Martini has been around for years, so they obviously do good business. I could see this place as fun for people who are interested in trying martini's for the first time, or for people who have had their fair share of martini's, but are not elitist on the subject.