It seems the passion that originally drove you to engineering is still there (you sound inspired, albeit cynical, in discussing construction projects). However, you fear not being able to find a job. Well, what I can say is - right now, today, in this moment - you do not know what job opportunities lie in your future, in either degree pathway. Personally, I advocate following your passion rather than a "safety net" degree.
Perhaps you are not feeling challenged enough in your program. Could you look into doing internships or research or something related? I feel like there must be some way to take the degree further, to rekindle your love of the field and your hope for a future career.
If not, then I hope you can find some joy in statistics (though the picture you painted seemed quite dismal and I don't wish that on you).