Help Getting Started... Or is it too late?

First time on here so I will introduce myself.

I am Currently a Junior Marketing major at a local college here in NYC (technique a senior due to credits... long story... graduating in 3 and a half semesters total so go figure lol)
I originally planned on going to law school post-grad...which is why I chose Marketing as a concentration to help boost my gpa for scholarship purposes (less math... or so I thought). After acing the required finance and accounting classes, I have been bit by the financial bug and am highly considering a career on Wallstreet. (Also reading of the horrors of debt/ shrinking job pool of law... $200,000+ high interest loans on a $63,000 ADA salary sounds like torture) Also I am yet to complete any internships. (I do have 3 jobs but non in the whitecollar finance world)

Anyways I have come here to ask... Is it too late?
I have read online of English, History, and other non Business Majors getting in and getting successful careers

My plan to break in is:
Complete my Bachelors in Marketing
Complete my Masters in Finance to rebrand myself as a Quantitative-Study/Finance student
*Somewhere in between get an internship
Land that sweet Shirt and Tie job we all strive for

... oh and if you haven't guessed by now I am an (angry) highschool football coach (which won't pay the bills in the long term... but I plan on continuing throughout my career)

Is my plan somewhat sound?
Should I just turn around now?
What would be the best way to go about obtaining a meaningful (and paying) internship? (Indeed just seems to be a black hole that only spits outs insurance selling scams).