InternetLegend is absolutely right. Godforbid something should happen to either of you, the only asset you would have would be your home - and selling it would not be a good option.
I assume I am right when I say you no longer are paying interest, thus no more tax benefits.
One option is to sell your home, buy a new one with the profit and get back into using interest to lower your tax. Most people sell their homes after 11 years (when the tax benefits on a 30 year mortgage end) and use the equity to buy up.
However, if you do pay off your home, there is something called a “reverse mortgage”. It is usually used by people far older than you are, but in essence, it means the bank buys your house back in monthly installments. I think you might both be too young for that option.
It might be nice to have the house paid for, clean and clear, but again, that leaves you with a roof over your head and no cash. What would happen if one of your kids actually wants to, and gets accepted, to Harvard? What happens if one of you dies and the other is unable to work? What happens if both of you are suddenly unemployed?
Your cash is in the house.
Pretty dangerous gambling chip.