far out, man
You asked the hypothetical question first. You have no clue whether or not creating a faction and reaching out to the other Major Factions for invasions and skirmishes would be well received or not.
I merely was pointing out that.
I have a strong feeling, an inkling really, that me creating a Major Faction with the only goal being "I am going to PvP and invade you" would not be well-received by many people. I think most importantly, anyone who asks me "Alan why did you make this faction". If I said "I created this solely to invade the Mandalorian Empire/TSC/THR" that would be what we call "toksičan" in my native language. And rightly so. I've seen factions over the years that are mostly sparked by OOC motivations, I don't think they're good ideas.
If I created a Major Faction that was "we are here just to kill everyone that likes Tuesdays" do you think that would be well-received and well suited for generating roleplay, a fun environment for people to be in, and a welcoming community?