Twitter is right to resist. If the U.S. were to pressure Twitter to censor tweets by organizations it opposes, even those on the terrorist lists, it would join the ranks of countries like India, Azerbaijan, Bahrain, Syria, Uzbekistan, all of which have censored online speech in the name of “national security.” And it would be even worse if Twitter were to undertake its own censorship regime, which would have to be based upon its own investigations or relying on the investigations of others that certain account holders were, in fact, terrorists.
The government might have its own designed assumptions, which might even look to be fairly presumptuous about the reach of their authority when it comes the issue of censoring Twitter accounts they think pose a danger to national security. The Internet has even been shared a similar view on the topic.
There was an article published last month in New York Times, which reported that government officials audaciously believe that “they may have the legal authority to demand that Twitter close” accounts they deem to be associated with suspected terrorists.
EFF has emphasized on the U.S. government’s efforts to persuade Twitter into removing the “terrorist” tweets and accounts. EFF mentions that its not just once, but a couple of such efforts have been made. The complexities have risen and things are not as they have been in the current scenario. EFF had a suggestive conclusion, wherein the group stated that the government officials would have many other important obligations to carry out, rather than convincing Twitter to remove the alleged terrorists’ Twitter accounts. That is what the group hopes for as there is a possibility that this issue can turn into Internet flame wars and professes a love for caramel macchiatos” (one of the Twitter accounts the U.S. government has singled out contains posts about the wonders of the delicious coffee beverage).
The past has been a witness to such flames and the future is still uncertain. 
However, there would be a lingering thought in the minds of a number of readers, that might not support EFF’s view. The U.S. government is not talking about an illegal act. In fact, it is trying to restrict those, who can be a pain for the country’s peace.
In every case, may be this might not be true. But in most of the cases, the U.S. government ha a valid reason, behind the repeated requests it has made for deactivation of those accounts.
Social networks have an obligation to fulfill in the same case, but still it is up to Twitter what course it chooses.