I guess I'm in the minority here. But I love Capaldi. And I felt like "Time Heist" is the best episode so far. (Granted, not saying much.)
It seems the strongest episode. "Deep Breath" did a good job on the regeneration and aftermath, but the actual plot was just okay. "Into the Dalek" was good, but just a lessor remake of "Dalek". "Robot of Sherwood" was basically just a silly filler episode. "Listen" was very good one until the end (which just felt unconnected to the previous 30-odd minutes). "Time Heist" just seems the best written and paced of the episodes so far. And I also think it shows that while this Doctor seems more callous and cold, he still does care. But perhaps he's just been around so long, lost so much that he has created this shell to protect himself. Watch his reactions to Saibra and Psi's apparent deaths and the revelation of their surviving. It's subtle, but Capaldi does show the sadness/relief respectively. That's one reason I love his Doctor, his subtlety: under the coldness, the brashness, the emotions are still there to be seen.
As for his "self-loathing", I didn't read it that way. To me it was more the realization that "Hey, these personality traits are really annoying me...wait, I have these traits too." Like when you meet someone that has some trait that just really bugs you and then someone else tells you, "You have that exact same trait".
To be repeat myself from upthread...honestly, I have to say I like Capaldi better than any of the Doctors in the revived series. Better than Eccleston, better than Tennant, certainly better than Smith. He honestly feels more like the classic Doctors than the revived ones. I think part of the problem people are having with him is that he isn't "cuddly". Not like Tennant was, totally unlike Smith was. He's more of a return to the classic Doctors in that he's not safe to be around. Not just because of the trouble he gets into, but because of who he is. He's a bit curmudgeonly like the first Doctor. He jumps into trouble just to satisfy his curiosity (and intentionally put his companions in danger) like the fourth Doctor did on so many occasions. He's pragmatic like the sixth Doctor. He's a bit manipulative like the 7th Doctor. If you look, you could probably find echoes and shades of all of the previous Doctors in his performance. And knowing how big a fan of the show Capaldi is...that's probably very deliberate.
So to sum up...yeah, Capaldi is quickly becoming one of my favorite Doctors. And I really, really hope that he stays longer than one year. Hopefully outstays Moffet so he gets some scripts to match his abilities. And hopefully gets a companion that is more character than plot point.