I've been playing an unreasonable character who never relinquishes his weapons. After many (MANY) attempts and reloads on the audience with Caesar, I managed to wipe out his entire camp and kill him. I haven't surrendered the Platinum Chip to Mr. House or any other NPC, yet... (Also, the 3 factions in New Vegas are all toast since they also asked me to relinquish my weapons...)
Have I totally screwed up the game by killing Caesar?