I\'m in a difficult position: We have a 3rd party enterprise system that exposes a Java-based API. However, we are a 100% .Net oriented development team.
Since you can't update your version of the JDK, as I expect you are tied to what WebSphere needs, you may want to look at trying the axis famework, from apache.
This would require you to write a webservice that would just pass calls to the java code, but it should provide you the tools to get online, and it works well with older versions of java.
I expect that Jax-WS would be a problem unless by some miracle you are on JDK5 at least, then JAX-WS would be helpful, as the annotations makes the development more like the webservice model under .NET 2.0.