Initial response: yes, at least for a couple more episodes. Don't read the rest of this, unless you need further convincing. It's best to go in cold, and not know what you're getting into. I love being surprised and Luther did not disappoint.
There's nothing stereotypical about Luther -- what I like so much about him is that he's not a good cop, he's not entirely clean. I mean, you see him really cross a line right there at the beginning, but you don't realize what an important moment that is until it haunts him pretty much for the rest of the show. And best of all, he knows it, so there's all sorts of turmoil that manifests in multiple ways. And it festers, so it's not just perpetual doom and gloom and woe is me, there's some definite character...uh...growth isn't the right word, as it's not all for the better. It's a thinking person's show, it's not just typical Hollywood happy endings every 43 minutes.
Remains to be seen if it (the depth of the show) persists in season 03.
I got nothing for your problem with Alice. She's a delight. She makes psychopathy look good. It does get a little ridiculous, but not until much later in season 01.
Oh and don't get me started with the wife. That particular story arc was superbly done.