Hi Raffi,
I have no Axis experience, but I did some digging. Here is what I found:
Axis user guide
The message context from which you can get everything else
Similar question posed in this forum
The following should work. Please give it a try.
//org.apache.axis.MessageContext
MessageContext context = MessageContext.getCurrentContext();
//javax.xml.soap.SOAPMessage
SOAPMessage message = context.getMessage();
// print the message to stdout
message.writeTo(System.out);
Srini