The idea of splitting the job mission is fascinating on its own, and stresses the importance of different kinds of people comprising the Jewish Nation - each one fulfilling his aspect of a general mission.
Mevaqesh already answered the question (kudos) and I would like to add a point to explain the framework of that differentiation:
We learn that "תלמוד תורה כנגד כולם" (Peah 1), meaning that the effect of performing Mitzvot can be reached (presumably) just by properly studying them (I've found it in written... maybe in my chidduchim?). However on some very early point of the forefathers Abraham and Itzhok it became obvious that not all aspects can be achieved through extensive learning, and some physical deeds (aka Mitzvot) must be performed.
And that was the original intention in differentiation the workload of Tikkun of the world between Yaakov and Eisov: Yaakov learning the Torah only his whole life, not marrying at all like Ben Azzay, and Eisov performing all the physical part of the Geulah - getting married, working, raising the 12 tribes etc.
We can found some references to this, if you're familiar with some Drush terms: we know that Abraham was (associated with) Chessed and Itzhok with Gevuro (Din). As Eisov was also on the side of Din ("Ra" so to speak), Itzhok loved Eisov (and his way), which is called Sade (שדה - field), Eisov is called איש שדה and about Itzhok the TOrah says "ויצא יצחק לשוח בשדה לפנות ערב".
The way of physical "struggle" is a shorter and faster way, but it is prone to following one's lust (like מצוות להנות ניתנו, one can receive enjoyment from a mitzvah and therefore forget the divine intentions). This is what practically happened to Eisov. Yaakov, on the other hand, could not fulfill Eisov's way of work by learning Torah alone, which lead him to switch to more "physical" behaviors, like going abroad, working, marrying, raising kids etc.
 This can explain the famous dispute about whether the forefathers kept the Mitzvot, according to this explanations there's no difference between physical performance of a Mitzva and studying it, so they performed all the Mitzvot just by studying Torah (בחי' "ונשלמה פרים שפתנינו".).