Don't pay off your mortgage early, don't refinance (unless you can drop >1.5%), and ride the long con.
This is highly dependent upon the math. What is your current interest rate (assuming it is fixed. If you have a variable rate... Oof)? What do you expect inflation to be? What other things could you be doing with your money, and when? How secure do you feel about your current income as opposed to your future income? Are you required to pay for mortgage insurance? For refinancing, what is the new rate and what are the closing costs?
I just hate having debt personally. I want to be free of the pressure that losing my job could lead to me losing my house. And yes, technically with property taxes that can still happen after the house is paid off, but that is a much longer process.