This is the one situation where I fully support the removal of an established tree. Camphor Laurel are an invasive species and propagate at an alarming rate (though not as fast as lantana). They seek out all the resources to thrive which depletes nutrients from our local natives.
The removal of Camphor Laurel should not only be encouraged by our local councils, but there should be funding available for the home owners who are seeking to better the chances for our native trees to thrive. I removed a few from my yard (an expensive process) and my natives gums are now doing so much better not having to compete for nutrients.