The Faubert-Laliberte tree you reference shows Jacques birth year as Ca. 1663.
There are a few other trees that show his birthdate as 1668. The reason for the discrepancy is based on different ages shown on various census records that are found in Acadia:
Census of 1693, Port Royal, Acadia, age 30 years.
Census of 1698, age 30 years.
Census of 1700, age 37 years.
CENSUS of 1701, age 35 years
So his birth year based on these 4 entries would be c 1663, c 1668, c 1663, c1666.
Since two of the 4 show him to be born c 1663, that is usually accepted as the "best guess".
Again, I can only say that in not one of the trees out on the web claiming to show Jacques father, are there any sources cited, which in my opinion is the reason that there are so many different "fathers" shown out there. No one really knows and people just have a tendency to want to find SOMETHING, that they erroneously and without evidence promote these different myths...