Hi Mark, the facet blocks depends on an existing query and does a context check before appearing. I don't see a very easy path there, maybe someone else has a better solution, but you could manage to build your own block based on how the islandora solr explore block works. If you look at the code, this particular block does initially a get all query (*:*) and then adds custom facets querys (that have no real use for you, because they assume you are going to use a 'fixed' condition you every facet field you wan't to display)…but:
You could make a new block copying the first part of that block, there could be some info hooks somewhere (don't remember, sorry), but just give this a try first:
Then copy the part of the main facet block (or call internally the needed callbacks and theming stuff), where facet fields are read from the configuration. Strip the facet queries if you want, and you should be done.
But maybe, personal opinion here (so you can stop reading if you wan't), having facets everywhere could be missleading. So maybe you could add some type of context filter based on where you are standing(hey, you can show all facets for objects that belong to the same CMODEL! or same collection!, well just an idea), and/or, if not adding conditions, also a different block title (so people knows they are seeing everything that is available and not those that are related to, e.g the current's objects data. Also there could be some performance issues, but i think most of the facets get cached in Solr, so just try.
Best
Diego