At most programs you'll need to take atleast one stats, finance, econ, and accounting class...but 3/4 of your classes will end up being electives, which you can fill with qualitative classes. Also, the math is absurdly easy - for stats in my schools, its all done by a program, so you just need to know the commands you need to use. Finance and econ are likewise not too complicated - finance is a handful of formulas, many of which boil down to discounting cashflows.
The MBA is NOT an academic degree, nor is it a quant degree. It's a degree that meant to mold you into a future business leader. It's much more conceptual and critical thinking than math related (most of the most of the math things are open book, they don't care if you memorize a formula, they care if you can understand and apply concepts). That said, to be a successful leader, there are certain quantitative aspects necessary. These are skills you need in business, once you get to a senior level at any job you need to understand these concepts to be successful. That said, its definitely not multivariable calculus, its functional real world stuff.
For you specifically, three out of the four careers (Especially MC) are very heavily numbers focused, so its double important for you to understand the numbers angle.
The hard part is getting a high enough quant score on the GMAT to get into a good school.