My wife and me are planning to go to the US. I'll have a J1 (postdoc) and she therefore get's a J2. At the moment she's looking for a job in Academia/Industry. In case she finds one, can she still apply for her own J1/H1B even though she started the application for a J2?
Yes, she can. Keep in mind that J1 may have limitation on staying in the US (i.e.: you must stay out of the US for some period of time, typically 2 years, before coming back in any other status). This may affect you and her. Check your paperwork.