There are also career changers who start out as something else (like a software developer) and go to the best MBA school they can get into, in order to try to "sneak in to the back door of the club" that way. I actually tried (and failed) to walk this path. My jaded view, after blowing more $ than I care to admit on B-school and literally dozens of interviews that went nowhere, is that these employers are looking for people already in the in-crowd, pre-blessed as elite, and are in general not welcoming to working class career changers. Investment banks are primarily looking for pedigreed former bankers, and management consulting firms are primarily looking for pedigreed former management consultants, and good luck if you're not already in one of those clubs.
Unless you are bringing in substantial expertise in the strategy side of technology (and most importantly, have a rolodex full of rich potential clients), it is unlikely that you would be hired. Outside of the traditional hiring rounds from undergrad and biz school, it is exceedingly rare to be given an employment offer.
I wonder if there's an alternate track for someone already established in another field. Could an established software developer somehow transition to getting a "big bucks" management position? Or does it all flow through that class system, and if you didn't enter at the bottom, you're not able to get to the top?