Consumer Insights/Market Research to Consulting?

Hi there,

Currently 3 years exp. from non-target state school working in consumer insights/marketING research. Think surveys, interviews, web listening, e-comm, digital marketing data etc. While I do have experience delivering to top tier clients and have recently made manager from analyst, I'm wondering if my skillset is applicable in the consulting world as well as if there are consultancies that offer this sort of practice (regardless of tier). Would this fall under strategy consulting? Thinking to head to grad school for an MBA or data sci/stats and then try and work my way into consulting. Thoughts appreciated.