I think the biggest obstacle was for my wife to connect with other Danish women. Basically how to find friends, since social norms and culture is different.

That lasted 6 months, and she now has a big group of friends consisting of expats/danes.

Job opportunities are very good, especially if you work within healthcare, engineering or similar fields. There's a shortage in the workforce for highly qualified workers.

Pretty good. Lot's of opportunity for an American. Cost of living and taxes are very high, but then there is of course public healthcare, schools and education paid by taxes.

If that's OK with you, then go for it.

High cost of living, fantastic culture, job opportunities really depend on you.

Here is what a quick google search throws:

https://www.techdirt.com/articles/20151220/05391733140/denma...

http://www.cnn.com/2016/01/26/europe/denmark-vote-jewelry-bi...

Suffice to say not exactly a paragon of liberty and freedom for all. But it might work for white techno elites for whom being not in US/UK and writing web apps is all they want.

I don't see why not?

She's doesn't hold a permanent visa yet. It needs renewal every year, and after 5 years, she just needs to apply for a permanent one. We were lucky, since I have 3 kids from a previous relationship, so my attachment to Denmark is nonnegotiable. It took 5 months for our family reunification visa to go through.

In regards to your visa in the US, I think you should just wait it out. I doubt it'll get paused overnight, since the business impacts would be too great.