After a quick google search of the yogurt making process and reading up on the two most common yogurt cultures, I can confirm that you are fine to eat the yogurt.
Two things: Be sure to heat the yogurt to the right temperature for the right period of time. This will kill all bacteria that could make ethanol.
AND
Be sure to store it correctly as this will discourage other bacteria from the spoiling the party.
I echo the sentiments of the last two posters too. Sadly ethanol is a byproduct of many many many metabolic processes. Your body has ethanol in it right now. It's very hard to avoid ever being in contact with it.
My mentality is stay away from the bottle. I eat my calories, not drink them
