What distinguishes "peaceable assembly" from meeting with a bunch of your friends? Some of the most important assemblies were antislavery meetings in barns, where meeting in public might mean suicide - does it say "peaceably assemble in public"? The prohibition is against government interference in all "peaceable assemblies" which is to say, all peaceful meetings. There are limitations, of course (eg I generally can't assemble in the street), but what reasonable restrictions intrude into the home? You do your name-sake disservice.