Not necessarily the same targets but they clearly have both the ability and motive to do such surveillance and many agencies have been implicated in massive spying programs and other surveillance and information operations, so it’s reasonable to think that some of them are doing what you say as well.
No they absolutely do.
https://web.archive.org/web/20250220185939/https://theintercept.com/2025/02/11/ice-immigration-social-media-surveillance/
Not necessarily the same targets but they clearly have both the ability and motive to do such surveillance and many agencies have been implicated in massive spying programs and other surveillance and information operations, so it’s reasonable to think that some of them are doing what you say as well.