What on earth is this proposal?
It's like the Alsace-Lorraine mess post-WW1. Seriously, this kind of mix and match land exchange only leads to further grievances as people find themselves dropped in new countries.
Look at Europe post WW1, post WW2. Look at basically any territory the British Empire ceded back to local control. Look at the India-Pakistan border, with its enclaves, and enclaves within enclaves.
Borders are incredibly emotive, and whenever someone (usually a drunk British aristocrat) draws new lines on a map to curry political favour, people divide into new factions, and lives are lost.
The idea of dragging countries in the Middle-East, perhaps the most volatile region on earth, into a border dispute is unfathomably nerve-wracking.
Wasn't it a Western plan that screwed up the Middle East in the first place?