In the US, what matters is the employer's perspective, not any official equivalency. Note I said "may" as in "the employer may not recognize the equivalence."

There is a management accounting certification in the US, known as the CMA (certified management accountant vs. certified public accountant) and the exams for the CMA are considerably more difficult and cover a wider range of topics. Still, the CMA isn't terribly well known and is not recognized (except by fellow CMA holders) in the job market.

Job hunting in the US is largely an exercise in marketing yourself. Make sure you explain your CIMA qualification in your resume, your cover letter and in any interviews, because it's not one that is widely known in the US.
Cheers,
Bev