Dear US friends, are you not aware of the fact that the US government requires compulsory fingerprinting of all foreign visitors and they want to know all their personal data, including credit card numbers (!!!) to be kept for many years in databases that are not controlled by any trustworthy official body. Also, all money traffic (yes, also in Europe) is watched by US bodies. So I am sorry, I do not find your belief in "no government" very realistic. Big brother is watching you and the biggest of hem all are the US. I at least have never heard of the EU watching US money traffic or taking fingerprints of foreign visitors when entering the EU. But that may come: bad ideas have a sinister way of spreading....
As a Dutchwoman living in Germany, I consider the EU is a great thing and it is a pity that it is abused for less acceptable things. But that is valid for national governments as well. The EU makes it possible to travel across borders freely, also with horses, to pay with one currency, to make international payments without extravagant fees for the banks, etc. etc. Those who hate it are those who have no international contacts at all and do not see its advantages in their personal lives. Also, the EU gets blamed for a lot of bad things that it has nothing to do with. As I said, the chip regulation has already been implemented on a national basis in NL. No EU.
I can still remember the days I could not go and see my relatives in another country because of heavy visa requirements and extreme money restrictions. This is still the case for travel outside the "big blocks". I know quite some people living in the US who could not get their relatives over in order to help out in diffcult family situations. Visa refused, no reason given. That situation does not exist anymore within the EU, as it used to do within Europe not very long ago. People who hate the EU do not know what they are talking about, IMO.
Back to the chips:
Recently there was a story on a horse that got stolen in NL and was found back in LU, thanks to its chip. So it may have some advantages, too. But in my eyes, it is the perversities of the meat industry that caused this. Basically, it is a means to control the whereabouts and situation of horses, in principle for health reasons, but of course it opens up various other possibilities that I do not like either, as I hate big brothers as much as my friends at the other side of the big pond appear to do.