What's a word to describe people who blindly follow their government without question?

A Yes-man :

a person who agrees with everything that is said ; especially : one who endorses or supports without criticism every opinion or proposal of an associate or superior.

Extract from http://www.lemauricien.com/article/political-fiction-yes-man

Elected in the same constituency as the Leader, the Yes Man is an expert in menial work. He started by carrying posters for a former banished young stud of the same faction. Despite being relegated to the sidelines, this has-been has managed to feed off the generosity of the party by aligning himself with another fervent patriot and organising PR coups where he gets to promote himself more than the real talents. However, let us not wander too far from our luminary presence.

If such a person is actually part of the state, then they're a functionary or (more strongly) apparatchik. Allegorically, they are a drone or myrmidon, both words with connotations of insect colonies.

Otherwise they would be a zealot, true believer, or partisan who had drunk the Kool-Aid (referring to the use of poisoned Kool-Aid (Flavor-Ade) in the Jonestown cult mass suicide / murder).

I think you have already answered in your question by yourself, - 'a blind follower.

Sheep. Just like that animal that moves wherever its herder takes it, no questions asked.

A "statist" is an advocate of statism, which is, in turn, the allowance of control into the "the hands of a highly centralized government, often extending to government ownership of industry." Contrast with "anarchist."

Sheeple is an interesting portmanteau that is a widely accepted term. An equivalent synonym/doctrine is "conformist."

[Sheeple] is used to describe those who voluntarily acquiesce to a suggestion without critical analysis or research. _^Wikipedia

It often portrays criticism in the tendency of crowd thinking and hive mindset. Here is a neat (perhaps very satirical) comic from xkcd to consider:

I would call such persons 'the immature'. For 'errare humanum est' (evb. makes mistakes), and 'individualism' does count but we must not neglect the opposite (community; a man is 'zoon politokon' - a man shall be tolerant but watchful activist, too).

Would 'assimilate' (as in conform) be an appropriate synonym for what you're trying to say? Assimilating culture, policies, the 'new agenda'...

Servile

1. having or showing an excessive willingness to serve or please others. "he bowed his head in a servile manner" synonyms: obsequious, sycophantic, excessively deferential, subservient, fawning, toadying, ingratiating, unctuous, oily, oleaginous, greasy, grovelling, cringing, toadyish, slavish, abject, craven, humble, Uriah Heepish, self-abasing; More antonyms: bossy, assertive
2. of or characteristic of a slave or slaves.

It sounds like you are looking for a pejorative to describe a single member of a group, who blindly follow. Lemming is sometimes used for this purpose.