Stolen Identity (Aim + other stuff)

If I walk into your house you should be able to mug me for my wallet (identity theft)?

No, but the internet is slightly different from real life events. They can be compared in some instances, but in that one, no, they aren't the same.

Identity theft is a huge thing online, and using someone elses wireless connection is asking for your shit to be messed with.

A better comparison would be you coming into my house uninvited, giving me your wallet, and then expecting me not to steal your identity.