Nuclear power provides the only clean source of baseload, and that's not changing any time soon. Unemployment amongst nuclear engineers is non-existent. Public opinion in the United States did not change significantly following Fukushima. The 'oil industry' does not generally compete with nuclear power, but gas does. The fact that gas is so cheap, combined with the incredible expense and long-term financial commitment entailed by construction of a reactor is why reactor construction in the United States is so paltry. There is no significant threat to most COBOLs by advocacy groups.
Mass retirement is looming for nukes working in utilities, labs, and vendors. There's space for you whether you overqualify yourself for most of those jobs or not.
Just because there are less programs doesn't mean the demand for those engineers has or will significantly contract. I would point to the median salary of US nukes as indication of this.
The industry is devoting significant resources to effecting a new regulatory regime which will put competitors of baseload at a significant disadvantage, and more and more green advocates are seeing the light. Public opinion is on the side of nuclear power, and I think this trend will only increase as the American public increasingly rejects the efforts of anti-AGW actors.
Worldwide, reactor construction is proceeding at a pace unprecedented since the initial expansion. If you're not tied to the United States, there are other opportunities.
Is there a single Gen. IV reactor proposal which is hampered more by the actions of the NRC than the technical challenges and consequential financial risk it presents?