A dry mouth 2 months after a wisdom tooth extraction does not correlate. Other causes of having a dry mouth should be looked for. These include salivary gland inflammation/ infection or blockage of salivary gland ducts, autoimmune conditions like Sjogrenz syndrome (does not necessarily effect the eyes), medical conditions like diabetes, high blood pressure, certain medications for example anti allergic, sinus congestion, certain mouth wash products, mouth breathing, dehydration, smoking, sleep apnea etc.
I am sure most of the above can be ruled out right now but for the ones that are left, a physician will have to evaluate you. I would suggest that you get a referral from your GP to an internist, a medical specialist who can look at this from a wider angle. That is the best course of action at this point in time.
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