Hold on... we've got the following Haplogroup I clades in Europe:
-I1
-I2a-Disles
-I2a-Din
-I2a-Isles
-I2a*-F
-I2a*-Alps
-I2a-Western
-I2a-M26
-I2-L38
-I2-M223
-I2*-A/B/C
-I2-L416-ADR
And we've got the following in Asia:
-I2*-B
-I2a-Din
...with only I2a-Din significant among Kurdish populations, and you're suggesting that it's native to Kurdistan? It seems completely obvious with the diversity of I2 in Europe that it originated there, and just a bit of it happened to expand into Asia with the Kurds later on. Don't you agree that the points of greatest diversity are the best candidates for points of origin?
Ken Nordtvedt provides a very good schematic map of the predicted spread of Haplogroup I, and it doesn't involve a particular clade originating in Kurdistan. Go
here and look for "Tree and Map for Hg I.pdf."