Yes they do. They have to do Wuzu before entering the Holy place of Mecca.
Muslims usually wash parts of their body before worship because it is a sign of cleanliness and consecration before God. It shows that they want to approach God with a clean heart.
I don't know about Hindu's but Muslims wash their feet as far as the ankle 3 times as part of Wudu (the washing pattern completed before offering prayer).
A mosque wash room is where Muslims go and do ablution (Wudu) if needed. This means that are allowed to pray (do Salat) in front of their god, Allah. They go into the wash room; if needed; before they enter the main part of the mosque and pray.
they wash before praying to show respect to there god, Allah
Hands, mouth, face, top of your hair and feet
Yes. This is what Muslims go into to wash their bodys before they pray.
Muslims take Wu'Du before they enter the Mosque. Wu'Du is where Muslims wash their face, feet, and body to become clean enough to pray and to enter the Mosque. After they take Wu'Du, they put on clean and appropriate clothes (Hijab and long clothing for women, and clean pants and shirt for men).
Of course they do.
they need to wash there hands to each for refreshments
They don't. The only requirement in Judaism to wash the feet before worship, is for the Kohanim in the Holy Temple (which is no longer standing). See Exodus ch.30. It is Muslims who wash their feet before entering a mosque.
Every mosque has a place where worshippers may ritually cleanse themselves before entering to pray. they have to be clean before facing Allah.
The washing area in a mosque is called the Wudu