I don't know what the Muslim feeling is about this, but as far as the Catholics are concerned, no. Anyone can participate in a Catholic Mass and do all the things Catholic's do in Mass [the gestures, blessing oneself with Holy Water upon entering (the purpose of which is to remit venial sin and serve as a reminder of our baptism; doing so also imparts a blessing), etc.] EXCEPT they (as with ANY non-Catholic) may NOT receive Holy Communion for two reasons: 1) receiving Communion means you accept all of the Catholic Churches teachings (which isn't proven until you are Baptized or Confirmed a Catholic) and 2) as Catholics we believe Communion is the body, blood, soul, and divinity of Our Lord Jesus Christ and to receive unworthily would be a grave sin.
Answer
Yes, but just to show solidarity with Christians in their griefs (as death of a Christian friend) or pleasures (as wedding). However, they are not allowed of course to participate in their ritual worships (especially that Muslims don't believe in Jesus divinity as God or son of God as Most Christians and they don't believe in Trinity).
Yes, a Muslim woman can be in a catholic wedding; as a kind of social solidarity; if it is regarding any of her girl friends.
go to mass
Muslims pray in mosques.
Muslims go to Mosques and Christians go to churches.
Muslims go to the same schools most of us do, unless it's a Catholic school.
Of course, most churches in Mexico are Catholic and you are free to enter them.
Churches are for christians and mosques are for muslims. It is similar to a church and we also worship there but its called a mosque. There are services at the mosque five times a day every day, but most Muslims only go for Friday afternoon services.
Yes, the majority of Mexicans are Catholics.
Many Muslims have visited Christian Churches.
Yes, ethnicity has nothing to do with it
No, suicide is completely forbidden to Muslims and they shall not get to heaven no matter why they commit suicide. This is found in many places in both Qu'ran and Hadith.
Often Catholic Churches (or any churches revolving around Christianity) can go to third world countries to help out from mission trips to charities. This doesn't just benefit the designated area though helps the members of the Catholic Church build a type of feeling of unity, through helping others.
Islamic holy buildings are not called churches, they're called mosques. It's the place where Muslims go to pray.