Not possible? We already can compile Java to .NET assemblies using IKVM. Don't tell me it's not possible to compile C# to Java bytecode. Don't tell me there's no way to create a bridge between .NET and Java. This exact thing I'm looking for has been done before, you can see it here. However, it's no longer kept up. I'm asking for answers, not people telling me something isn't possible when it's been done before. Apparently, the last sentence of your "signature" is true, "No help will be given".
Edit
There is a reason I asked for projects to contribute to. If your skull is too thick to figure that out, I honestly feel bad. Since you obviously couldn't figure it out, let me explain: I asked for projects to contribute to so that I could contribute to a project. Seems obvious, but I guess not. I simply don't care enough about this to start a project like this from scratch.