Unless you have "depowered" the Link 2000 the RFI has nothing (perhaps) to do with the inverter as Bill suggests. There IS always RFI with any product having a microprocessor that is active and if your Link 2000 is working there IS an active microprocessor. Just because a particular product meets various agency specifications regarding RFI does NOT mean that you might not suffer a contamination such as what you experience with a handheld VHF.
Again, Bill has it correct in that the handheld antenna
is much closer, in the sense of the received magnetic field, to the Link 2000 than is your masthead mounted antenna and receiver. If you bring your handheld VHF near other instruments (almost ALL have active microprocessors these days) including switch-mode regulated LED lights
you might notice a similar interference.
Regardless, there might be some things that could be done, as Bill suggests, to help the problem....your particular installation
is different than any other installation which might not have a problem.