I have a Python script in which I need to solve a linear programming problem. The catch is that the solution must be binary. In other words, I need an equivalent of MATLAB\'
This is a half-answer, but you can use Python to interface with GLPK (through python-glpk). GLPK supports integer linear programs. (binary programs are just a subset of integer programs).
http://en.wikipedia.org/wiki/GNU_Linear_Programming_Kit
Or you could simply write your problem in Python and generate an MPS file (which most standard LP/MILP (CPLEX, Gurobi, GLPK) solvers will accept). This may be a good route to take, because as far as I am aware, there aren't any high quality MILP solvers that are native to Python (and there may never be). This will also allow you to try out different solvers.
http://code.google.com/p/pulp-or/
As for interfacing Python with MATLAB, I would just roll my own solution. You could generate a .m file and then run it from the command line
% matlab -nojava myopt.m
Notes: