In order for the marriage to be recognized as Islamic you need to have a Muslim ceremony through the Kantor Agama. Then you'll be recognized as married by the Muslim community. That being said, my wife and I were married for 9 years before we had a Muslim ceremony. If you are serious about doing all this, you should check it out thoroughly. Issues like how your wife's family is going to react to this if you are not married as Muslims. We had some problems during our first year of marriage because of some hard feelings from some family members about my wife marrying outside the faith. If you're not familiar with Islam, think about Jews and Catholics in the States. Many of the more conservative members of those faiths also look sideways on cross-marriage.
It is quite easy to convert to Islam, although, in my personal opinion, it is not something that I would do in order to get married. My conversion to Islam came about many years after our marriage and for reasons completely unrelated to it. Talk to your wife and see how she feels about all this. Religion can be easy to pass over when you want to get married, but religious issues will arise later on if you plan on living in Indonesia.
It is quite easy to convert to Islam, although, in my personal opinion, it is not something that I would do in order to get married. My conversion to Islam came about many years after our marriage and for reasons completely unrelated to it. Talk to your wife and see how she feels about all this. Religion can be easy to pass over when you want to get married, but religious issues will arise later on if you plan on living in Indonesia.