Although these asians are able to cope better they are not desirable to have here correct?
The introduction of the Varroa mite into Australia has the potential to badly affect existing apiaries. In 2007, the Australian honey industry estimated that honey bee products were worth about $80 million per year to the economy. However, this pales beside their estimate of pollination services - $3.8 billion per year.
I don't know how much of an impact the Varroa mite would have. Reports vary from increased hive management costs to complete destruction of apiaries.