They wouldn't do that in plain sight of a droid's perceived owner though.(In this case, it could be their companion. Which, even if the companion is dismissed, in canon it would be that their companion is present with them.)
I had a whole plotline outlined of how their tutorial zone would work. It could be like the Pandaren in WoW where you start neutral but can choose an allegiance afterwards.
You could either join the Imperial Military or the Republic SIS. Of which, NOBODY would want to step on their toes except their opposing governments and maybe the gangs.
And of course, in true Bioware writing fashion, you'd have the option to kill the person who created you.