I am just posting to add to the "you're not alone" feeling. I call it having "very healthy salivary glands". When I'm at the dentist or when I was younger, the orthodontist too, they always have to use that sucking straw sooo much and have had to put those cotton rolls in my cheeks before to keep saliva from pooling.
As long as you aren't having problems, I don't think there is any need to be concerned. In fact I think I've heard bad breath is more of a problem in people with dry mouths since the bacteria isn't washed away as often.
A medication I take has dry mouth as a side effect and I do notice I'm thirstier and my mouth feels drier on it, so imagine how much worse it would be if I didn't have very active salivary glands!
The worst that has ever happened to me due to this condition is if I open my mouth and my head is tilted forward and I have forgotten to swallow in a while I might drool a bit. As long as no one notices I don't see that as a anything to be concerned about.
I have especially dry lips too though I never linked it to a watery mouth before. The corners of my mouth seem chronically cracked. It's a shame because you can't wear dark lipstick if your lips aren't smooth or it feathers. I find aquaphor work best at healing my lips btw.
Good things come to those who shop.