I disagree with you on almost every point (except for your statement of the common theme).
The bar for becoming a convicted felon has been rapidly lowering over the years. The more police powers we grant, the less Free we become. This decision has just provided an incentive for our lawmakers to make many more of us convicted felons for ever increasingly flimsy "offenses."
You didn't give us enough information to answer that question, and you probably don't have enough information to give us. Here is the only answer that is going to matter: the more you know, the broader your employment opportunities. How much you need to know depends on what jobs you end up getting. They range from "no advanced math needed," to "you can't possibly know enough math."
I've written jail management software, tax collection software, basic game physics libraries, office management software, and a whole bunch of stuff covering a very diverse range of topics.
Game physics were the most mathematically demanding topics, but all of those problems have already been solved by others. My need to actually know game physics math was minimal (vectors, matrices, dot products, and cross products covered most of what I needed), as I only needed to be able to understand the language of the presenter enough to implement the math in code.
However, sometimes I am presented with a business problem that I can solve with the math I learned from game physics. One example was writing a report showing which jail inmates were ever housed together over a given period of time. This was easily solved as a one-dimensional collision detection problem, exactly as it would have been done in a video game. It wasn't advanced math by any stretch of the imagination, but it was an application of math that I would never have predicted until faced with the problem.
So there is no simple answer such as, "you don't need math" or "yes, you definitely need math." There are far too many variables to consider. The bottom line, though, is that it's very helpful to know, and in ways you can't predict. Sadly, the college/university classroom is the single worst possible environment in which to learn it.
I know I'm going to get modded to hell by GMO worshipers, but so be it:
All of you that see (R) on the ballot and instinctively vote (D), and all of you that see (D) on the ballot and instinctively vote (R), this is the result: a government so corrupt that is passes laws protecting companies that are trying to kill you for profit.
We still have a mechanism short of violent revolt to take our country back: vote third party. If you vote (D) or (R), you are saying that you support government corruption and have no self-interest. You lose NOTHING anymore by voting third party. Voting third party, at the very worst, makes you no worse off than you are now.