I think the world would be a better place if more people donated to charities, especially effective charities. I also, separately, believe in effective government that takes care of it's people, progressive tax rates, and democracy/input. I don't think these beliefs are in conflict.

Also I'm pretty sure that EA as a movement is only concerned with the former mission, and does not advocate for any of the bad policies you're worried about

The EA forums that I'm aware of have spun off towards longtermism and other bizarre reframings.

GiveWell and CharityNavigator still exist. Charities like GiveDirectly still exist. But, at least where I've seen it, conversation online about these things by people who'd consider themselves part of a community has shifted.

Longtermism is sexy and gets a lot of attention, but the bulk of EA donations by a huge proportion still goes to run-of-the-mill poverty relief. The most controversial EA cause that still moves significant amounts of money turns out to be animal welfare.

My question is "what is the EA movement?"

If somebody gives to a charity rated highly on GiveWell but doesn't talk about it as EA, is that a part of the EA movement?

A pretty key component of a charity being effective is doing things their beneficiaries actually value.