Structured Finance - Advice for moving to US

Hello everyone, I’m trying to figure out what would be the ideal way of transitioning from a European country to US by next summer, once I hopefully become a CFA charter holder. I have 6 yrs of internal audit and 2 yrs of structured finance experience (providing wholesale funding for the bank through note issuances and loans including structured ones) in a large commercial bank here. Although I enjoy my current field very much, it’s somewhat limited hence am happy to consider other areas in financial services (except audit ) or finance departments of corporates. Questions are what do you think my chances are of finding a decent job in a decent firm (doesn’t have to be a top IB/PE), for which kind of jobs I would have the most chance, would an MBA help me with my move (I’m considering Kellogg since it’s 1 year only, knowing that there are better schools in finance)? Btw, I’m a green card holder. Thank you for the feedbacks!