I’ll throw in an opposing viewpoint here. I’d be much more interested in the ME (with ‘comparable portfolios’ - the value of an ME with ID sensitivity is high in my book).
Most of our projects require the input of ME’s and sometimes EE’s along with our valuable ID’s but the role that really ties all of that together is the hybrid CAD guy. We have a few ME’s who kick as on SW and a few ID’s who kick as on Rhino, but the ID or ME turned CAD jockey is top dog. Sensitivity to design, knowledge of utility & mechanics and the ability to put it all into manufacturable 3D - awesome.
My advice, ‘be all the ME you can be’ while also bathing yourself in aesthetics and developing a strong knowledge base of CAD aptitude.