I don't have a problem with mindless greetings of the "How are you", "Fine, and you?, "Fine" variety.
But I also think folks should actually listen to the response. I still remember a phone call I had from a customer years ago telling me that he thought my boss was strange. The customer had called for me and my boss answered. The exchange went something like this...
Boss: "Hello <customer name>. How are you?"
Customer: "I have a rotten cold".
Boss: "Good, good. What can I do for you?"
I also have a friend who I see about 3 times a year. Every time we meet the greeting is the same:
Her: "How are you doing"
Me: "Fine. How are you?"
Her: "Good. And how are ~you~ doing?"
Me: Something polite to break out of the question loop.
Actually most of my contact is by phone these days, with people I talk to often. They're on speed-dial, we all have caller-id, and the greetings are usually something like "Hey", to which the other responds "What?" and that's it.
All that said, however, I think most greetings are "perfunctory", not insincere, and they don't bother me.