It is certainly easier to break into the gaming audio industry than in the film industry, in my opinion. Game audio is more forgiving of experimentation and thinking outside of the box, whereas filmmakers are less likely to stray as far from contemporary orchestration and generally seem to stick with "tried and true" instrumentation. (Depending on the genre, of course, this is why I love Sci-Fi so much! Lots of opportunities for ambient soundscapes and grungy electronic basses there!)
Luckily in both film and game production, we are seeing a plethora of new opportunities pop up across the map, as technology is making development less and less expensive and requires less of a steep learning curve thanks to its power. I would say both fields have equal opportunity but in my opinion, the best way to angle yourself as a music producer is as someone who can comfortably shift gears from contemporary scoring techniques for film, and evocative electronic soundscapes for video games ?
That being said, it's about 40%-60% for me, film vs video games. Indie game developers are easier to work with and sometimes audio can come into the picture far earlier in game development than in film which generally waits until post-production to even THINK about the music.