BLM only manages/controls a bunch of that. They don't own any.
Government owned is Forest Service (which in WY sometimes doesn't have a tree on it), State, County, the odd "school sections."
The BLM also imposes restrictions on private land if they decide they know best and get a judge to agree with them.
While many of the people who work for the BLM are decent, reasonable people, the agency, as it is directed by Washington and various thinkers, is quite the PITA.