Pay off mortgage or borrow off of house

[truckin 79]

I see things on internet all the time about not paying off your mortgage but to borrow and use this to invest for retirement. So I owe about 60K on house and have the means to pay it off out of our savings. So if we stay the way it is and just keep paying mortgage off it will take 5 years to pay off house. If I pay house off and start putting money away that would have gone to mortgage company it would take about 5 years to build that up in our savings account again. My wife wants to keep making payments to mortgage company and I want to just pay it off. Doesn't it make sense just to pay it off?