Many upvotes here due to the political/religious aspect, but there should be some comment on the archeological issue. From what I've gathered in the past, the main points are:

1. An organization with very deep pockets sets out to collect Near Eastern antiquities.

2. Due to turmoil in the Middle East, many relics of dubious provenance are hitting the market.

3. The org decides to buy as much of this stuff as they can, knowing that some of it will be dubious.

4. The org voluntarily has their purchases inspected, knowing they will not be compensated for things that have to be returned to their rightful places.

In outline, this sounds like the buyers doing the right thing in a bad situation.