Just to give you more examples on these kind of cases.
1. For your experience level, you would still be an entry level candidate for MBB.
2. Typically people moving from other big consulting firms to MBB join a lower level than their current role. E.g. A Senior Manager in Accenture Strategy would find acceptance as an EM only in MBB. I had 2 colleagues of mine in Accenture Strategy who were SMs but ended up joining as EM in Mckinsey, now both are APs.
3. People with MBA, no consulting experience but lot of industry experience can either join as consultant or Associate in Mckinsey. Have seen many examples.
4. Have seen Partners in Big 4, join Mckinsey as AP where-as there are Partners in Big 4 who have joined as Partner in Mckinsey.
So bottomline is depends on the tenure of prior work experience, the quality of the experience and also the need/urgency of the role that has to be filled in the target consulting firm.