I was in US from 2003 on F-1. I finished my Ph.D. here and changed to J-1 Status. I want to travel during 2012 summer, but need to go for J-1 Stamping. Do you think it will be a problem? Is there a chance that I might be stopped because of 214(b)?
Immigrant intent is definitely a consideration for issuance of J visas. As to whether or not you may have a problem is impossible to predict. If you can have a safety net of an H-1 (if needed), you would be better off.