"Sadly, this is just one of numerous TA's experienced by fixed wing aircraft operating in and out of CPT. This can be quite alarming and distracting at a critical phase of flight."
It`s an advisory, so whats the problem? At least it adds to your SA, why should it "distract" you? Sounds like the crew are used to operating out of large a/c only airports - Heathrow, JFK etc..The most important instrument in any a/c is the window - use it..
As for the TCAS bleating "Traffic Traffic" within a CTR at the critical phases of flight - the one I am used to only gives a visual filled in white diamond - perhaps the mode selector needs to be in the correct position for take off and landing, that would be TA only?