Do coins from the National historic mint have any real monetary value?
They are private mint issues and are not legal tender.
They are private mint issues not affiliated with any U.S. Mint. Also they have no numismatic collectible value and are not legal tender. If considering future purchases as an investment, steer clear of the private issues. The numismatic community has great disdain for these. But there are some pieces that are well struck and look great. If you want one of these just for your personal enjoyment, by all means get one.
Coin collecting is a old tradition of collecting coins of monetary value (money). Many people collect coins that are old, coins that have meaning (like state themed coins), or coins from different parts of the world. Some people do this as a hobby and some collect coins because it will mean their value or worth is very high.