1. A method, in a data processing system comprising a processor and a memory, for handling interrupt actions for inter-thread communication, the method comprising: providing, by the data processing system, in association with a first processor thread, a thread action data structure comprising a non-blocking synchronization data structure and an internal list data structure of pending interrupts, wherein the thread action data structure associated with the first processor thread receives interrupts from other processor threads in the computing device; receiving, by the data processing system, a post of an interrupt action from a second processor thread to the thread action data structure associated with the first processor thread, wherein the interrupt action is added to the non-blocking synchronization data structure of the thread action data structure; moving, by the data processing system, the interrupt action from the non-blocking synchronization data structure to the internal list data structure of pending interrupts for handling by the first processor thread, wherein, responsive to receiving a post of a new interrupt action while the interrupt action is being moved from the non-blocking synchronization data structure to the internal list data structure of pending interrupt, the method further comprises: delaying, by the data processing system, the posting of the new interrupt action to the non-blocking synchronization data structure until after the interrupt action is moved from the non-blocking synchronization data structure to the internal list data structure of pending interrupts; responsive to the interrupt action being moved from the non-blocking synchronization data structure to the internal list data structure of pending interrupts, adding, by the data processing system, the new interrupt action to the non-blocking synchronization data structure of the thread action data structure; and updating, by the data processing system, an atomic reference to a head of the non-blocking synchronization data structure in response adding the new interrupt action from the second processor thread to the thread action data structure associated with the first processor thread, wherein the atomic reference to the head of the non-blocking synchronization data structure points to the new interrupt action in the non-blocking synchronization data structure; and processing, by the data processing system, the internal list data structure of pending interrupts to thereby handle interrupt actions moved to the internal list data structure.