On one hand the move is understandable, with rockets landing in Ashdod they wanted to move to a safer place. However, on the other hand, this raises some serious questions. The Charedi world justifies the draft exemption for yeshiva students based on the following:
1. Torah learning protects everyone
2. The boys are engaged in מלחמתה של תורה
3. Talmidie Chachamim don't need protection
Based on these it would seem that the Yeshivas should stay where they are. If the boys who are learning are engaged in war just like the soldiers why should they abandon their posts? In addition if Torah learning protects, let them stay where they are and be protected by their Torah. Their move undermines the claim for draft exemptions and looks very bad. The soldiers are entering Gaza to fight while the yeshiva bachurim are fleeing to safer havens.
Update 1/6
The Yeshivos that I am talking about are Charedi Yeshivos. I took the information from last week's Mishpacha magazine. Here are some of the Yeshivas that left Ashdod:
Grodna, Petersburg,Belz,Ger.
Here is how the Roshei Yeshiva explained the move:
תורה מגנא ומצלא, אבל ככה קשה לבחורים להתרכז
Torah protects and saves, however, the boys found it hard to concentrate