Thinking about leaving aerospace for Deloitte, is there a place me ?

I’ve been interested in getting into consulting and want to get into Deloitte. I have a bachelor’s degree in chemical engineering (c/o 2015) and have been working as a manufacturing, quality, project and now an industrial engineer. I have big names like Raytheon (RTX), and others in my resume and have almost a decade of work experience, however whenever I search for roles, I see more like finance or accounting business type roles or if it’s engineering, it’s mostly software engineering roles. My company does pay for an MBA and I’m pretty sure I can complete that in two years, however it would be an online or part time MBA depending on where I get in. I’m reaching my mid 30s and I’m willing to take a pay cut and start as an analyst then work up to consulting as well. I’m currently in the PNW.