DaMoshe > somejew: for your second point, the two items aren’t mutually exclusive.
Indeed, Ramban to Gen 26:29 describes that Avimelech is fearful of Yitzhak because both Avraham and Yitzhak were rav koach with 300 armored men (hm, Eisav would have 400) and many allies – so doing both warfare and politics – in addition to limud and kiruv. And Ramban concludes with Maase avot asu banim – applying to Itzhak, but no doubt, we should also take that to heart.