big YES. green card only good for 6 months or 1 year out of the country. if something ever happen in your new country, you want to be sure that your wife and yourself to move back to US promptly. and if you want to go anywhere with your wife, her american passport would give her mobility to go anywhere with you. it’s a pain to get visa, really.
unless your wife is made of gold and earn 7 figures. might be best for her to get US citizenship then US passport.
Increase treble, add more speakers to make it quadraphonic