Even though you've got Java and web development experience, nobody's saying that you have to list them on your resume. These skills are in demand, so of course

Even though you've got Java and web development experience, nobody's saying that you have to list them on your resume. These skills are in demand, so of course employers are going to focus on those sections of your resume instead of the fun parts. Are you able to perform well on an interview where you'll get tested on C++ and nothing else? If so, list your C++ experience prominently on your resume, demote Java and web development to tiny bullet points, and start applying to jobs. If you don't think you could do yourself justice in a technical interview, get involved in spare time projects and publicise your work on the web. The good employers will value your involvement in the development community as much as they do actual paid work. (This is how I was able to get a functional programming job: I carried on writing C# at work while teaching myself F# at weekends. I got to know my fellow F# developers through the web, and I'm now working with them.)