I'm not good at meeting folk either. At certain times of my life I've had to just go and meet new people or elect to be a hermit, so I take a deep breath and try to play a part. To an extent it seems to work, as once the strangers are know one gradually gets used to them and feel more comfortable.
I guess this trait makes me a little unsociable but most of the time I am ok with that. When I force myself to meet folk I'm playing a part that isn't really me, regardless of quips about being outside the comfort zone and all that.
And maybe it is unfortunate I am more often the listener in a large group than the one who actually has found something to talk about, and can do so without feeling they're making a fool of themselves, but that's just the way it is. Net forums are so much easier to cope with ;-)
But I do see a nasty trend for employers to expect everyone to be eminently sociable rather than allow folks to play to their strengths, but maybe that's a side issue.
Back to the original question, yes I play a part as if I were an actor, I try not to think about what I'm doing, and occasionally remind myself most folk are too concerned about how they are coming across than to worry too much about how I look. And once I know them it's less of a problem anyway.