In this type of situation, you need to be carefull you are not accused of "hunting" the port tacker if there was an incident; The safer way it to slow down and force them to tack earlier than they want to; you can then sail over the top of them.
You do need to be careful on this, especially given the speed of the boats. When the new rules were first put out there, hunting was specifically ok. With the last revision, hunting became not ok. Be careful that any tactics articles you're reading reflect the newest revisions, as the advice being given may be out of date.
Think about the safety of the situation when the port tack boat is trying to avoid the starboard boat and the starboard boat is altering course to force their hand. What appeared to be a clear situation could become a collision course at the point both boats are looking elsewhere. As stated in another post, do it early and subtle.
