Look, I'm not an expert, I just dabble a bit. In theory there's no need for anyone to know your private key, it is generated on the card and kept there, unextractable. As I understand it there's nothing stopping credit card companies from allowing you generate your own keys on it (on a technical side that is), it just wasn't done AFAIK.
I have a smart card so I have the reader, but when I put in my credit card it doesn't even appear as though it can read it. I would love to use my "always-with-me" credit card for home PC sign-on and whatever else but there's nothing out there on the integration. Any pointers would be appreciated!
I guess it's enough information to concoct some kind of 2-factor auth, but what is stopping you from promoting your real smart card into "always-with-me"? Or one of smartcards, since you can have many.
NFC-capable phones can act as a card reader for contactless smartcards AFAIK, so that's something you can look into also.