Leerburg's Answer
For a diagnosis of the type of fear I believe you need to work with a trainer in person and in the environment your dogs have the issues. this is one of those questions that is difficult (or impossible) to answer via a message since the dogs' behavior and body language as well as your handling of the dogs can all play a part in their reactions and behavior. Do you have someone local to work within your home? Ideally, this should be someone skilled with aggression, not just a general obedience trainer.
Until you have a training plan in place I would not keep letting the dogs practice the barking and lunging behavior. In other words, don't use visitors to your home as a test for your dogs. Working with a dog trainer in a preplanned setup scenario is a much better way to work through this as visitors likely give off the wrong kind of energy and behavior which will likely feed your dogs' unwanted behavior.
One thing to do is let the dogs spend time separately, it's very likely they are feeding off of each other's energy as well. In other words, let them become comfortable one-on-one with you in training sessions. One dog crated away from the training space, work with the other and then switch. Trying to control two barking and lunging dogs is definitely more difficult than working with one at a time.
You may want to view our course on Dealing with Dominant and Aggressive Dog that Ed Just finished doing.
And possibly our Leash Reactivity course with Tyler Muto - but I believe you also need some one on one help with a qualified trainer for this issue.
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