So if the 1857 birthdate was correct, that leaves:
JOHN JAMES KINNISH Christening: 24 MAY 1857 Andreas, Isle Of Man, Father: THOMAS KINNISH, Mother: CATHERINE CHRISTIAN.
and
JOHN KINNISH Christening: 19 APR 1857 Lonan, Isle Of Man, Father: THOMAS KINNISH, Mother: MARGARET LOUISA QUAYLE.

The Lawson 1861 census index has:
KINNISH John J. 4 Lon 4423 24 169
KINNISH John 3 Lon 4423 46 23
[plus some same age in other parishes].

The second entry is at "Balldoone"!
Thomas Kinnish 52 farmer b.Lonan; wife Louise 26 b.Braddan, with children Cathrine 5, John 3, Margreat 2, Thomas (will have a closer look at 2nd name) 2 months, Ann Kinnish 40 sister unm., farmer's daur., all b.Lonan. Also 2 servants and James Kinnish mar 40 "cussin" labourer b.Lonan.

It looks as though you had the right family.

Sue