A lateral isolator (200, 300) comprising: a tubular housing comprising: an upstream end; a downstream end; and an interior circumferential shoulder comprising an interior shoulder surface, which has a shoulder profile; an inner member comprising: a first tubular portion; a second tubular portion; and a pivot ring disposed within the housing, wherein the pivot ring is connected between the first tubular portion and the second tubular portion; and wherein the pivot ring comprises a polygonal profile complimentary to the shoulder profile, the polygonal profile of the pivot ring and the shoulder profile of the housing being configured to provide torsional locking between the inner member and the housing; a centralizer sub connected to the housing at the upstream end of the housing, the centralizer sub comprising a plurality of compliant fins attached to an outer surface of the centralizer sub and being spaced radially apart from each other about a longitudinal central axis of the lateral isolator (200, 300); a housing cap connected to the housing at the downstream end of the housing, the housing cap comprising a bowl profile configured to receive a guide neck of a movable sub, the guide neck having an outer profile complementary to the bowl profile; a first elastomeric package disposed between the housing and the inner member, at a position longitudinally between the pivot ring and the housing cap; and a second elastomeric package disposed between the housing and the inner member, at a position longitudinally between the pivot ring and the centralizer sub. a tubular housing comprising: an upstream end; a downstream end; and an interior circumferential shoulder comprising an interior shoulder surface, which has a shoulder profile; an upstream end; a downstream end; and an interior circumferential shoulder comprising an interior shoulder surface, which has a shoulder profile; an inner member comprising: a first tubular portion; a second tubular portion; and a pivot ring disposed within the housing, wherein the pivot ring is connected between the first tubular portion and the second tubular portion; and wherein the pivot ring comprises a polygonal profile complimentary to the shoulder profile, the polygonal profile of the pivot ring and the shoulder profile of the housing being configured to provide torsional locking between the inner member and the housing; a first tubular portion; a second tubular portion; and a pivot ring disposed within the housing, wherein the pivot ring is connected between the first tubular portion and the second tubular portion; and wherein the pivot ring comprises a polygonal profile complimentary to the shoulder profile, the polygonal profile of the pivot ring and the shoulder profile of the housing being configured to provide torsional locking between the inner member and the housing; a centralizer sub connected to the housing at the upstream end of the housing, the centralizer sub comprising a plurality of compliant fins attached to an outer surface of the centralizer sub and being spaced radially apart from each other about a longitudinal central axis of the lateral isolator (200, 300); a housing cap connected to the housing at the downstream end of the housing, the housing cap comprising a bowl profile configured to receive a guide neck of a movable sub, the guide neck having an outer profile complementary to the bowl profile; a first elastomeric package disposed between the housing and the inner member, at a position longitudinally between the pivot ring and the housing cap; and a second elastomeric package disposed between the housing and the inner member, at a position longitudinally between the pivot ring and the centralizer sub.