That Phoenix Lights video has the vice mayor of Phoenix talking about Men In Black around the 19 minute mark. If you can't watch the whole thing watch that portion.
It reminded me of a story I read on reddit but I can't find it now. The search terms are not great and bring up either nothing or a million unrelated things. If it could be found it was very interesting. This person wrote about being a mail carrier in Washington, DC, and about a very strange building there where they delivered mail. He said he saw some "people" enter the building that didn't necessarily look strange but that gave him a feeling of complete terror. He "knew" that they were not humans. His job was to go inside and drop off mail in their mail room, and then they distributed it. Usually he dealt with normal people. But one day he saw these three people that terrified him go inside this building right ahead of him and he either saw them notice him or he had a feeling they did. (All of this could be explained in different ways of course, as always, but the story had a believable quality to it, not too over the top.)
The thing is he felt like "noticing" them was a mistake and he had the feeling that they knew he knew that whatever they were doing wasn't fully effective on him. It might be compared to some kind of cloaking, or hypnosis, along the lines of "They Live," where these other beings usually pass as people.
So he sees them and feels they are aware of his fear. They enter the building, which only has an address and not a sign stating which part of the government has offices there. They go in and he sort of breathes a sigh of relief as he can't see them. Then he goes to the mail room as usual and they are in there with the clerk. He had to stand there very close to them as he handed over the mail and he felt that he was having an experience with them that he couldn't compare to anything else, but he knew they were there in that room because he'd become aware of them.
He said there wasn't really anything he could tell anyone. It was all feelings, but he said these feelings were physical and made it very hard to be around them and keep it together. He felt like he was completely at their mercy and could barely breathe. He felt he could have collapsed and died from fright, but he kept it together to get out of there.
Shortly after he was transferred to a different route and did not see these people again. It was implied that they were some sort of "alien" life form that somehow was connected to some obscure government branch, which isn't an original story, but reading it made an impression and I wish I could find the original.