gps file->WGS84->NAD83 Alaska stateplane zone 1

Dave,

What I would do is project the data in ArcGIS, and and then read them into
R and use proj4string to get the projection from that object. Then use that
proj4string to project, in R, the lon/lat data and see if they now match
up. I just did that and I think you espgs code in incorrect. I would
generally avoid these opaque codes, certainly when sending a question to
the list. For you epsg code, I get:

proj4string(bear414_nad83)

[1] " +init=epsg:26931 +proj=omerc +lat_0=57 +lonc=-133.6666666666667
+alpha=323.1301023611111 +k=0.9999 +x_0=5000000 +y_0=-5000000 +ellps=GRS80
+datum=NAD83 +units=m +no_defs +towgs84=0,0,0"

For ArcGIS I get something else (the value of alpha):

[1] "+proj=omerc +lat_0=57 +lonc=-133.6666666666667
+alpha=-36.86989764583333 +k=0.9999 +x_0=5000000 +y_0=-5000000 +datum=NAD83
+units=m +no_defs +ellps=GRS80 +towgs84=0,0,0"