Their jab, f-tilt, d-tilt, fair (and arguably nair) are the only real similar moves. I'm going to say Shulk
is a photoshopped Little Mac was built up from the ground up. Let's assume Sakurai's
way of designing character movesets hasn't changed since Brawl. Sakurai made Ike a "Burly Swordsman" and it shows in his animations. He wields Ragnell with one hand easily while Shulk uses both hands to wield the Monado (both true to their character). Sakurai then submits poses that he feels is appropriate to the character. So that's why you see the muscular guy using one hand and the average Brit using two hands... Looking back at this now, I don't think I answered your question and I'm going on a rant about animating.
But anyway, when it comes down to it, they are both two-handed swordsman. As such, they're going to attack similarly regardless of how they wield their weapon. Let's use the space animals' blasters for example. Fox, trained in a flight academy, uses his blaster like how a pistol should be properly used while Falco, the former gang member, uses his blaster sideways, a common trope associated with street criminals. Regardless of how they hold their blasters, they still pull the trigger and shoot a laser. And looking back again, I'm still not sure if I answered your questions or not.
But to answer your question, no. Shulk did not use Ike as a template. Maybe he and Ike both used how two-handed swordsman fight as a template, but I'm not Sakurai.