I'm one of those odd PvEers who enjoys PvP providing that the PvP experience isn't relegated to griefing. EVE to me is a great example of what I don't want Elite to become. While I somewhat like the constant feeling of danger, I can't stand station baiting, gate and other ganking etc.
So, providing Frontier will include real and meaningful deterrents to griefing and piracy (big bounties, swift police action etc.) I'll definitely muck around in PvP land. I just don't want to have to live in fear from consta-ganking a la EVE. If that's the case, I'll stick with PvE. And if I stick to PvE for a while, I'll ultimately quit the game as I'm not looking for a single player game.
I need/want the environment to feel alive - I NEED to see other players flying around, not just NPCs. I find single player PvE experiences to be quite depressing and solitary. I really enjoy multiplayer PvE or (largely) grief-free PvP. I think the latter is absolutely achievable with the right anti-griefing tactics.
Edit: based on what I've seen David B say - I think he, and the broader development team, absolutely get this. Much more so than CCP and EVE - where they openly embrace and tolerate practically limitless griefing.
Katkon; I completely agree with this. It is my preferred way of play; but it seems to necessitate a PVP opt in button on the 'all group' UI. Some thing I don't mind, but PVP players hate.