If it's Marx's thought that's being referred to as "popular culture", that's a pretty inaccurate characterisation. It's bona fide political philosophy and/or political economy.

Even a soft, humanities subject like political philosophy, can, unexpectedly, be a topic for mathematical study, e.g. Arrow's theorem.

You're right not to believe in policing disciplinary boundaries.

I think the problem here is more that you haven't demonstrated just how Marx's thought resembles linear logic, so the idea might seem a little crazy, maybe a product of an idée fixe. If it's not something mathematicians would be impressed by (in terms of rigour or depth), and not something Marxists care about (in terms of philosophical implications) it's not going to lead anywhere.