Kasha,
You continue to ask the wrong question. It is perfectly permissible for a Jew to enter a monotheistic house of worship that isn’t Jewish, even if we may not be permitted to engage in those specific forms of worship. Even the Ran and the Tzitz Eliezer held that way; they were just misinformed regarding Muslim practices.
Regarding published essays, you will find a response by Rabbi Naftali Silberberg on the Lubavich site askmoses.com that specifically states “Entering a mosque does not pose a problem, since Islam is based on a belief in the one-and-only G-d.”