Well, I have watched up to the 7th episode of season 8. Here is how I would describe the Capaldi Doctor(I'm calling him that because I am not sure whether to call him the 12th or 13th Doctor) if I were to add him to DrCrow's list: Chaotic A**.
Sorry but that is my honest opinion of him so far. He is downright unlikeable is you ask me. He is insensitive and rude. I'd never thought I see the day when the doctor is guiltly of bigotry. He is bigoted against anyone who was a soldier. He would let that girl ride with him in the tardis, not because she was a bad person or anything, but because she was a soldier. He can't conceive of Clara's boyfriend being math teach because he was a soldier and soldiers can't possibly be smart enough to be math teachers, they can only teach Phy-ed. Look as the way he talks down to him! Does this really sound like the Doctor to anyone? Does this sound like the guy who was friends with Brigadier Sergeant Benton? Yes, he hates some of the things the military would do and he hates war and he hate when people pick a violent solution when a peaceful one is possible. But the Doctor I know of would not hate people merely because they soldiers. That is bigotry pure and simple.
Now lets discuss "Kill The Moom" I am sorry but what the Doctor did absolutely stupid. He could have stayed and discovered(if he didn't know already) that lettiing the moom hatch would not have harmed Earth. If he had stayed he could have found a way to preserve the creature in the moon egg with harming the Earth. But what does he do? Unlike all the times when he stepped in and saved humanity from this disaster or that, he leaves Clara and the others with an impossible decision: kill the innocent creature in moon egg or let it's hatching destroy the Earth. What if Clara had made the wrong choice? What if she had let the woman kill the creature because the Doctor wasn't there to help. Yeah, it turns out he knew all along that the creature would hatch and leave the Earth unharmed and inspire humanity to reach for the stars again. But did he know all along that the egg was allowed to hatch because Clara would let it? How did he know that him leaving wouldn't change history so that the egg wouldn't be allowed to hatch. Yeah he knew the egg would be allowed to hatch, but he didn't know it was because Clara allowed it instead of him helping. If he was so afraid of changing history because of interfering, why did he interfer and help Earth all the other times? Just seems inconsistent to me (btw this story has implications for the abortion thread).
He just comes off as a jerk to me. I also find his accent very difficult to understand. Thank God captions are regular thing on tvs nowadays. He had been a Doctor during the classic era when many tvs didn't have captions, I don't know what I would have done. But I am sure it is easier for people in the UK to understand him. That said, I hope his era as the Doctor is short. Also I don't like how they advertised "here is the new Doctor's costume" and he only wears it for a tiny bit at the end of episode 1 and all of episode two and then it is changed. A bit dishonest.