Frustrations about my master's program and how I should cope
This sadly does not surprise me very much, especially if you are in a field like public policy or international studies, and especially if it is a graduate-level interdisciplinary program that is not directly run by a department with its own undergraduates and doctoral students. (In the U.S., at least, undergraduate programs have very strict accreditation, and doctoral programs are a point of pride for faculty. Masters programs often get lost in the middle, especially if the masters students don't have classes with the undergrads or doctoral students.) 

If you want to stick with this degree, you will have to rely on yourself, as YakovK suggests, to get the most out of this program.


It's at the top of rankings because highly qualified students attend (and vice versa). Make the most of your classmates' knowledge and enthusiasm, and work on side projects with them.
Try to take the maximum number of classes with full-time professors, even to the point of petitioning for graduate classes from other departments to replace your requirements. See if you can do an independent study with a few other motivated students and a willing full-time professor.
Make the most of the entire campus you're on. I am guessing that, for this program to be so highly regarded, it is part of a busy university, so get on the mailing lists for departments you're interested in, try to discover funding sources for research projects open to you as a student there, and/or try to find a professor to do research with (for a limited number of volunteer hours, for course credit, or as a job). 
Does your program have a capstone project or thesis? Figure out how to make that serve your career goals. (If you're interested in further academic study, then try to make the research as well-thought-through as possible; if you're interested in working in a particular company or industry, find a topic that's in demand there.)
If there's a campus writing center or tutoring center or statistical consulting center, use it as much as you can to improve your project/thesis.
If there are career counseling resources on campus, use them. You may be able to be part of the campus alumni network.


If you don't see this "self-driven" option working out, you could also find something related to do for a year and ask for a leave of absence. (E.g., if this were a public health school, you could find a relevant job in some level of government somewhere, or a job at a health-related NGO/non-profit.) See how necessary it is to finish your degree to advance in that world, and give yourself time to make that decision. (While you may have to live with low wages or no wages while doing this, it may be a better choice than paying tuition and living expenses toward a program you are not seeing much value from.)

Good luck!