process improvement

I've recently accepted an Operations Analyst position for a top BB (GS/MS). This is what I wanted as I enjoy process improvement and project management, though I know the knee-jurk reaction on this site is opposite.

I was a SA and not to sound pompous, believe I was the top one or two analyst and will be placed in a consulting/project role vs. a documentation/data-entry. Background: Semi-Target, 3.6, 3 internships, diversity candidate, excellent leadership ECs, etc.

Long term, the idea of strategic management consulting is appealing...

- Is it possible to lateral as a Business Analyst at a BB to a BA at Mckinsey/Bain?

- What's the best way or route to position myself?

Any advice, thoughts, or knowledge of other's experience would be appreciated...Thanks!