Other than its use for managing dependencies, I am finding little use for it.
That's because you don't get it :) Dependencies management is only a small part of Maven, Maven has really much more. Quoting Maven: The Definitive Guide:
Maven is a project management tool which encompasses a project object model, a set of standards, a project lifecycle, a dependency management system, and logic for executing plugin goals at defined phases in a lifecycle. When you use Maven, you describe your project using a well-defined project object model, Maven can then apply cross-cutting logic from a set of shared (or custom) plugins.
Maven uses convention over configuration with lots of useful defaults (directory locations, a defined life-cycle, a set of common plugins that know how to build and assemble software), Maven provides a common interface to build project (unlike Ant, you know how to do things like running tests, packaging, etc with every project, no need to open the build script to find out how it's done), Maven implements reuse through maven plugins (build logic is embedded into plugins for DRY purpose, you don't have to repeat yourself over and over, you don't have to copy/paste parts of your build scripts), Maven has a Project Object Model that allows you to describe your project through meta-data (this enables dependency management, remote repositories, reuse of build logic, tool integration, artifacts search...).
So, because Maven provides a lingua franca or shared language for project management, comparing Maven vs. Ant (+ Ivy if you want), Maven vs. Buildr, Maven vs. Gradle is like comparing apples to oranges, the comparison is just irrelevant.
Is such a combination common? I am thinking of making it permanent in my project.
Well, no, that's really not the maven way of doing things. This might seem tempting (because you have the feeling that you regain control because you understand what is happening with Ant) but you are actually repeating yourself again and loosing all advantages of Maven. Sure, there is some learning curve with Maven and I'm not saying you'll learn it in one night but once you'll get it, you'll feel the power. I'd thus recommend to keep trying, to ask questions on the mailing list or here on SO, to read the Maven Book, etc. But don't give up.