The supplied translation is 100% correct.
As a side note, I really want to thank you for your focus on the actual meaning of the lyrics. I say this as the song has caused quite a lot of controversy over here.
Too many people suppose it is about people with disabilities, even though the lyrics quite clearly reflect it is about immoral people instead, as does the music video.
* "Lyudi-invalidy" literally means "invalid people", however the song is about immoral people as stated by t.A.T.u. themselves.
"Me" is in brackets because it is never actually stated in the lyrics, but it is implied.