Logan and Creed continue their worldwide travels designed to recruit and train young mutants in order to teach them to be able to look out for themselves and defend themselves when (of course) The Feds come for them. One particular, and older, mutant who's hunting Nazi war criminals in Argentina declines to join them though. Meanwhile, The Feds have a plan of their own for potentially harnessing and controlling men like Logan and Creed. A plan that that just might affect one of Logan's group very personally ..
Even with some cool nods to early X-Men characters such as Bolivar Trask and FBI Agent (and future friend of and X-Men liaison to Charles Xavier) Fred Duncan, each of which represent the polar opposites of the government's take on the emergence of mutants, The First X-Men #2 really doesn't do much to bring anything new, including excitement, to the X-Men saga. Most of the events of the story thus far are similar to the types of events and conflicts we've already seen in countless other X-Men origin stories. The only thing different here is that Logan is supplanting Xavier as the first mutant leader.
As for the series' artwork, I never been a huge fan of Neal Adams' work. His characters' facial expressions are constantly over dramatized in my opinion, and he lacks consistency of proportion from panel to panel. His character designs are pretty uninspired also. The most interesting new character introduced, a young mutant codenamed Yeti, has some real potential, but is visually so uninspiring and has such a sketchy look that he almost looks silly.
While it's still fun to see Logan play at mutant leader as a younger man, thus perhaps validating his new role as headmaster of new Jean Grey School for mutants, The First X-Men #2, unlike #1, is an uninspired affair.