Continuing the topic-drift:
It isn't so much about getting around inconsistencies or apologetics; "unfalsifiable" means that something cannot be disproven IN PRINCIPLE.
So, in the case of "God" it depends on what kind of "god" we are talking about:
A god who interferes in human (or universal) affairs, for example, would in principle be falsifiable. If we can track down every single cause and effect and find that no causes are missing (so every effect can be proven to be caused by something inside the physical Universe) then such a god would be proven to not exist (or to not be of the nature of such an interfering god)
If we are talking about a god, who stands completely outside of the universe and does not interfere, then this would be unfalsifiable. If we are talking about an initial creator, who interfered at the moment of creation (before the big bang) and then left his creation to its own devices, this may or may not be falsifiable (depending on if we can trace causality back to "before" the big bang--there seem to be different theories on that)
For an unfalsifiable theory that is proposed by many serious scientific minds, we have the multiverse theory. At least the versions of this theory that postulates that there is no way that the different universes can influence each other in any way whatsoever, (either through causality or any weird quantum effects) is an unfalsifiable theory. It cannot, in principle, be disproven as there are no effects we could find that would prove that there cannot be another universe (which has no effect on ours).
So: If we say something is unfalsifiable, it means it is not something that is useful to explain our universe in a scientific manner. It could be true, it could be false. There is no way to prove or disprove it, and many people would say it is therefore irrelevant. It does however not mean it cannot be true. There is absolutely no reason why something should not exist, just because it does not conform to our need to prove or falsify something.--That is not meant to be an argument for god, just a clarification of what that term is supposed to mean.