Don't rule out opportunities other than civil.
Different job markets might vary, but the PMP is in high demand for engineering and other projects in my region. There are still many IT project managers and those positions also prefer a PMP, but the trend has been to move away from project managers when it comes to software development due to the rate of change in product development.
Still, if a company hires a "project manager," they want to see the PMP credential.
As an engineer with PM skills, I would suggest you highlight the PM skills as your primary focus, with the civil skills as your background if you want to move around.