Basically everything about that idea is bad. It will turn into a cash grab, encourage pointless gatekeeping, allow some group to exert outsized control over a diverse trade, and anyway would never get universally adopted. And if it did happen, instead of people selectively spending their time to interview at companies they want to, they'd be forced to waste their time proving whatever the governing body thinks they need to demonstrate. Bringing some artificial barrier to entry to software development is the last thing the field needs.
This system already exists for the vast majority of real engineering, it's called the PE exam. I see no reason why we couldn't implement something similar in software engineering. It's not like it would keep you from being able to get a job as a code monkey working on Wordpress sites, but it would help in guaranteeing minimum levels of competency in the fundamentals of computer science.
All of those bad things only happen when the licensing body lobbies to get laws requiring the license. As long as the license is required, it wouldn't have any of those effects, because then you could get a job with someone who doesn't require a license.