Praise be to Allah.
We put this question to Shaykh ‘Abd-Allaah ibn Jibreen, may Allaah preserve him, who answered as follows.
The dove does not have any particular meaning in Islam. It is simply one of the birds that Allaah has permitted us to eat, just like any other permissible bird.
In Islam, the dove does not stand for peace or for anything else. It is sufficient for us Muslims for us to follow the commands of Allaah to establish justice on earth.