So, if the OP re-asked the question to say "assuming equally skilled players, which combos are most effective for crushing foes in PVE" would you all still slap him down?

Or do you just figure its best to nip the "ownage" virus in the bud for all new players whenever possible?
Anyway, to the OP, I would say that a little perusal of the forums will give you an idea of what people gravitate towards. And to be PC, I'll say that yes, you can find amazing builds in all ATs.
To get helpful/specific tho, I'd recommend Scrapper as a good Hero AT for your goals. They have enough survival and self-sufficiency to excel, though they aren't especially overpowered. However, they are well suited to someone with a "kill them all" mindset because thats what Scrappers do. Also, later, with set bonuses, you can actually achieve semi-tank-mage status in many (if not all) situations with enough playtime, experience and money. The same can be said for other ATs, I just think Scrappers will fit your style more from start to finish.
Good secondaries for your character might be /Shield or /Willpower. Shield scrappers can soft cap on defense (or close) I think, with a lot of effort, and they add damage, so they are a nice blend of survivability and damage. /Willpower will play up very easy, in terms of always having Regen and good End Recovery, so that you have less downtime. Later, you can get (with invention sets) your defenses into the 30 range or so, and combined with your innate regen, you'll go from being a good soloer to being a decent almost-tank-mage eventually. If you build right. /Invuln is pretty good, with set bonuses and skill, at being tank-magey too, overall. As far as primaries, try to pick ones that have a variety of single target and AOE damage. For example, Martial Arts may not be a mass carnage/ownage build simply because it doesn't have a lot of Area Effect attacks. But some type of scrapper would probably suit you. Ask around on the scrapper forums, or just observe what some of the forum regulars are planning for their end-game builds and read their threads on why.
Villain side, Brutes and Masterminds are the efficient/fun soloers, and the right builds can become quite tank-magey. They are non-tedious to play from the ground up, and they can be kitted out for some pretty nice damage+survival.
Lewis