Not a fan of Dave Ramsey. He's great if you don't know finance but his advice is geared towards people in the poor and lower middle class brackets that want to stay there. Same with Suze Orman.
Get an overfunded whole life policy and put the extra money into that. Google "Infinite Banking" or "Cash Flow Banking" to understand how it works.
Current guaranteed rates are 4.5% with dividends it comes out to around 5.5% (in the current market, it tends to follow interest rates very closely). That's 4.5% guaranteed for life from companies that have been around longer and still posted profits through the great depression, dot com crash, and 2008 housing crash.
Gains grow tax free and if you take it out as a loan it is tax free as well. Any money you withdraw is tax free up to the amount you have contributed so far.
You can take out a loan for any purpose, for any reason, at any time. If you don't pay back the loan the company could care less because they are getting the interest and it just comes out of the death benefit. Actually, they prefer you don't pay it back because they make more interest. So it really is win/win. Tax free "withdrawal" for you and more interest for them.
Also, it's a loan against, not a loan from. That means you are borrowing money from the insurance company not your money. The entire balance is still compounding.
And, as an added bonus, you are getting permanent life insurance for your family.
Some risks with paying off a mortgage earlier:
1) Equity in a home earns 0% interest. You're money is not compounding. Got $500,000 in equity. Guess what, that $500,000 is earning 0% interest.
2) Your leverage is decreased when you pay off your mortgage. If you have only 20% down (500% leverage) and your home goes up 10% then you just made a 50% gain. If you pay off your loan then your 10% gain becomes a 10% gain.
3) The money you put into your loan could have been earning interest. Yes, you're paying money on the mortgage interest but the mortgage balance is decreasing while the investment balance is increasing.
You can think of it this way. Should you take out a loan at 5% to invest at 5%? The answer is yes, you will come out ahead. The reason is that you are only paying 5% of the whole amount in the beginning. Towards the end you are paying 5% on a very tiny balance. If you pay in level payments then your loan is effectively costing you 2.5% while your investment is getting 5%. It's net positive.
4) Paying down your mortgage means you have more money at risk and less options. If you have some bad luck and default then the bank gets first right to all of your equity. If that equity is stored in a whole life policy it is protected from creditors (may vary from state to state but most are pretty generous). If the bank stands to lose a lot of money they will work with you and give you some flexibility, lower rate, allow you not to make payments for a while, etc. If they can just foreclose then they will do that. The reason a foreclosure is more favorable when you put in more equity is because they can sell it at a lower market rate and still get their money back. If it is underwater and you have very little equity then they would be forced to take a loss from the foreclosure.
5) Your mortgage interest may be tax deductible depending on your circumstance. You are giving that up.
Todd Langford has a really good series of videos that talks about finance and opportunity costs:
https://www.youtube.com/watch?v=lp1BZcex6ds
https://www.youtube.com/watch?v=v7QCe3rmAv0