For some reason I can post my comment to “Continuation of Egyptian Culture by non-Egyptians” post so I posted my comment as a new blog.
Egyptian culture was continued on by non Egyptians after conquests. It is very interesting that all Egypt invaders adopted part or all of Egyptian culture. Why? Maybe, that is why Egypt was always a target. Religion seemed to be the backbone of Egyptian structure. Conquerors maybe knew that they could control the conquered through religion. For example the Persians supported Egyptian religion by building temples to legitimize the Persian King as pharaoh. The Persians were building ethos among the Egyptians. However, the Persians curtailed the temple political power. As you stated the conquerors would want to relate to the conquered but still maintain the highest power. So they put restrictions on what was/wasn’t allowed.
It is interesting that so many nations wanted part in Egypt. Another reason why could be because of the Egyptian strong religious beliefs. The land was good for agriculture and like Egyptians maybe other nations believed it was because of their faith. Because religion is the main thing Egyptians wanted to savor, and all the invaders agreed to learn and practice, so there has to be great significance. Religion and ideological connections is what is thought to have brought Greece and Egypt together. Greek settlers’ cultural elements were infused into Egyptian culture however Egyptian religion always remained.