My knee jerk response is to be offended and a bit defensive......Byyyyyyyyyyyye! Don't let the door hit you in the *** on the way out.
But if you look deeper most of these people are complaining about tax filing requirements... in reality, they left the US (some of them long ago) and made lives in other countries with foreign spouses or partners. If they are dropping citizenship, they obviously have made their mind up to live in another country permanently. Because doing it only for the purposes of a tax protest is, uh, well, you know.
Why expats are ditching their U.S. passports
The problem is, if it were really easy and legal to game the tax system... everybody would be doing it.
The more recent crackdown (last few years) by the IRS is related to people hiding money in offshore financial institutions.
Here is another article about one case about avoiding taxes if you are interested.
Swiss government peels back bank secrecy rules - May. 29, 2013