But fiscally, that is not always the way to go.
First, the money you borrow on your home is the cheapest money you can "buy." Not only is the interest rate lower than other commercial loans but the the interest is tax deductible. Say you're in the 20% tax bracket and have a 5% interest rate, your "actual" rate of interest in only 4%.
Second, you have to take a look at the "opportunity" money that you are losing if you pay off your home. House prices are fluid as we all know by now and not always rising. If you pay off a $100,000 mortgage, then the earning power of the $100,000 of equity sitting in your home depends on the housing market. If you use that $100,000 (or portion thereof) in the market, it too may go up and down but history tells us that the market earns a better rate of return than home ownership does.
Third, money depreciates over time due to inflation. The money you owe today will be worth less in the future. So, while you are paying more interest with a longer mortgage, the money you will be using later to pay back the loan will be cheaper.
So, my suggestion is: if you are comfortable without paying off your house quickly, see if you can refinance at a lower rate (I agree with finding a bank loan at least 0.75% less than you have now) but keep a 30 year mortgage. With the money you are not spending to pay down your loan fast, invest with a broker like Vanguard (no, I don't work there) where you can buy an exchange-traded fund (ETF) which spreads the risk among many stocks or bonds.
Good luck.