I think your idea of what Copenhagen / Denmark is like is A BIT rosy, to say the least.
The government and Copenhagen city counsel HATES cars and if they could get them all out the city, they would be thrilled even though the parliament is located in downtown Copenhagen and they get driven round in BMW 7xx with security guards following them in SUVs (moral is double morals are twice as good).
You only own a car in Copenhagen if you need one due to congestion, price, cost of running etc., so yes most (normal) families only have one and mostly older ones, which is a double edged sword on one hand it's a good thing, they are on the road for longer and the pollution is kept down, as new ones aren't produced and on the other hand old cars pollute more and are less safe, which means it evens out pollution wise and it cost the state more to mend you.
Yes we do have one of the best bike infrastructures in the world, but cyclists tend to don't give rats ass about anyone, but them self, which resolves in a lot in injuries and downtown Copenhagen is like playing the ground is on fire bicycle edition.
The public transport system is large and all in all decent, but the Danish government just spend 7-10 years and I believe 4 billions dollars developing what essentially is an oister card, which as most of you know is tried and tested in most larger cities in the world.
We do get a lot for our taxes money, which is great, but when your real tax payment is in the 70th percentile, so should you.
Although we get a lot of quantity, the quality of what we get isn't that great, due to the government being retards (the last to minsters of tax were both 27 when they got elected, with no real work experience) and they keep taking money from where its needed police, healthcare, school, so they can do prestige projects like bridges etc. that no one really needs or wants.
The Danish safety net system, is currently being highlighted in the media as what it is shit, for some people it pays better to stay at home and scratch their ass, than going out and getting a low paying job.
I saw a research paper a couple weeks ago claiming that in a country of 5.5 million people almost 2 million are on some sort of government paid allowance, which leaves around a million people to pull the load, if you subtract the children and then they are complaining why we can't compete with emerging markets and we need to focus and being the best and brightest even though the school system has been neglected since the seventies, when it was in school during the late 80s to early 2000s, it wasn't uncommon to get a 10 year old text book.
The car taxes goes towards maintaining the roads and keep prices in public transit down, they don't do either, the public transit system has seen some of the biggest price inflations in the country.
The inflation is partly due to the government owned railways wasting money and buying shit that don't work aka the oister card and they ordered new intercity trains 10 years ago, only 20 have been delivered and those that have been don't work.
So yeah it's a great place.