I'm sure you are going to find that most modern Israelis people are traditionalist and would not back this tiny fringe group of Meshugaot who are looking to upset the tranquility of the the Temple Wall (aka Kotel), and thus bring fame to themselves. Since it was recaptured in the 1967 Six Day War, it is a privilege for everyone to pray at the Temple Wall, the last standing wall of the Holy Temple that was built be Solomon and destroyed by the Roman. Its tranquility should be respected maintained and any fringe group that cannot respect the norm should not be admitted.
Yemen's vice president reportedly lands in Aden (Reuters)
from the article: Police arrest woman for wearing prayer shawl at Western Wall