wa alaykum salam
Muslim men can marry non-Muslim such as Christian or Jewish ladies.
this issue has been talked about before here:
Muslim men marrying People of the Book
So, for more information and evidences look there please...
Whether in most cases today, it is wise, I do not know. Certainly, for men to marry Jew or Christian we can not say it is haram. As it is something in the Quran. As for women, then this is not allowed.
Most of these mixed faith marriages do not work out as the couple never really had a strong base to begin with. Although, sometimes the women research about Islam and find out for themselves and become Muslims.... often finding that their husbands are not so good at practising Islam.
Its best for people to find and marry pious person who loves and fears Allah and wants live their life accordance with Islam.
Islam gives the best base to have a successful long lasting (forever inshaAllah) marriage, that develops the best and greatest love between husband and wife.
Love is of two types, one which is from Allah and the other, which is not really love, and comes from Shaitan. Shaitan makes it an easy way for people to think they are "in love" and then they do sin or even marry the wrong person. Thats because, Shaitan can fool a person into making the wrong decision or not knowing who is right for them.
These days, Muslim men and women unfortunately, are falling into this problem.
The other love, is one which is based on clear thinking and making sure that things are done in the correct and halal way.
Those men that often want to marry a Christian or a Jew these days, how do they marry? I have yet to hear of a Christian or Jewish girl in the West who would want to meet a man in the presence of her father or brothers and then proceed to get married in a Shariah method!!!
So, those men who go off to marry people of the book, and say it is allowed, do haram in the first place to get to that stage... and Allah knows best their condition.
A lot of men from Middle East go to study in Europe, find a girl, get married (sometimes not) and then later when they get back home, they are pressured into marrying a girl from their own society. This is a cultural pressure, and not one based on Islam. Its unfortunate, that neither the husband or the wife had thought about their future in a realistic and correct way. Often, this leaves the children with divorced parents.
I met a man in Palestine, who was divorced, his wife and kids live in the UK and are not Muslims. It is such a big shame, Allah help them all.
Therefore, it is imperative for Muslims to take their time and seek a spouse who sincerely wishes to be a good Muslim and who really implements Islam in their life. Such as person should have good character and personality. People need to consider the next generation too. The parents are a big factor in the upbringing of children.