"Any suggestions for a hide glue source? Is the Gerstner official "whew" glue
worth while? My preference it to work it into the joints and clamp, rather than
fully disassemble, as the drawers are factory fit to the case or chest, and it
is a user."

When I redid the felt in one of mine I just used the Franklin bottled hide glue.
I also sometimes use a fish based glue similar to hide glue that I get from
Stewart McDonald.  My reaction to the general issue is that you should use
something you are used to and comfortable with.  Also one that can be
disassembled with heat and moisture if need be. If you are working it into the
joints I wonder if the liquid glue is better for that since it won't set before
you have it fully worked into the joint.  But I would try not to overthink it.
I think that almost anything you use will work for a good repair that will last
in your new garage in New Jersey.