Move from IT to Strategy / Management

I recently started at Deloitte as a Sr Consultant within the Technology arm of their Consulting practice. I am an experienced hire (4.5 years out of undergrad with significant industry experience) and am in a niche of their service line related to specific systems and industries. I really think IT consulting is certainly a great place to be, however I want to eventually get to strategy and management. In other words, I don't want my job eventually sent to india, nor do I want to be a "warm body" to rotate around as a systems expert. Fortunately, in my practice the strategy and execution of the technology doesn't differ much... I might be advising on system configuration, drafting proposals for vendor selection, or doing PMO activities, etc. My question is: how hard is it to make a transition across industries and service lines? Would it be something I would have to attain my MBA for first? I would love to jump across to S&O or something similar.

Any advice would be greatly appreciated!! I have a BA in business management so it's not like I'm a CS guy or anything. I eventually plan on getting an MBA and initially thought that would be the time to try and make a switch. I'm not necessarily looking for an MBB type organization down the road, Deloitte is just fine with me.