My university offered (not sure if it still exists) a software engineer degree that was part of the school of engineering, had a mix of courses from the school of engineering and school of math and IT, and at the end of it you would be eligible to take the local equivalent of the PE exam and become a Real Engineer (I think technically you would be in the field of mechatronics).

IMO this should be the standard - software engineer should be a protected title, and everyone else would be titled some flavour of software developer or similar.