Hufty,
I had to have all four wisdom teeth removed earlier this year. Fortunately, I had it done at hospital under general anaesthetic. I would highly recommend this, as the procedure can be quite brutal! The surgeon told me it would take "one week to recover". This was pure sophistry as after four days my mouth was very sore, to the point of distraction and I was on painkillers and antibiotics for another ten days. In the end, I was off work for almost three weeks.
There was no risk of barotrauma (according to my ex-Polish Air Force dentist). My mouth was still changing shape every day for about another month on returning to work (it's really quite weird as it adjusts for the gaps), but I didn't experience any trouble regarding pressurisation or dry air.
Applemacster