I get my confidence from four main sources. I didn't proofread this for hours before posting, so don't be dicks if it's not perfect.
1. I have experience and a track record of success which gives me a rational basis for not thinking I'm stupid or worthless. i.e. I do a good job, so I have reason to believe that I do a good job.
2. I try really, REALLY hard to be a good person, and I have for a very long time. I seek out wisdom wherever I can find it, and I change myself when I believe I am wrong. I also survived decades of abuse. I've already been given a lifetime's worth of blame which I did not earn. I figure that, even when I do screw up, I'm already paid ahead on that bill, and I don't take it too hard. I'll beat myself up for a bit, but then I add the lesson to the totality of who I am and move on. Anybody who really thinks I need to be bitched at doesn't know me and therefore is in no position to judge me.
3. People are fucking stupid. Even the greatest people make mistakes all day, every day. I don't consider myself exceedingly wise, but you don't have to be very wise to often be the wisest person in the room. My thoughts may not be the best, but they're often a lot saner and more accurate than those of the people around me, so I don't feel bad taking my own advice over that of the vast majority of people I've ever met. Any time I start to doubt my judgement, listening to advice from people at work usually cures that right up in a massive hurry. (I'm talking about advice about life in general, not specific stuff like which motherboard to put in my bagel toaster or whether I should put all my oxygen sensors into a Roth IRA. I know enough to listen to a pro on certain issues.)
4. The universe seems to me to be created. If so, whoever created it must have much greater knowledge and power than I do. This makes me feel like this person just might have some kind of plan for me, which could be taken as validation of one's existence. ("But Hitler existed too!11!!!12" Yeah, I know, and there's an answer to that, but I'm not going to write a dissertation about this tonight. If you can't handle that, then maybe you don't have inner confidence.) If I was created by a God, then that God knows that I have my limitations and am completely incapable of getting anywhere near perfection, no matter how hard I try. I don't feel that my creator blames me for being the work of his hands.
5. I'm a badass.