Conversion Causes Problems

I had posted an earlier blog about the teenager from Ohio getting perceived threats from her father because of conversion from Islam to Christianity. There was a similar case that occurred much closer to home. The article can be FOUND HERE.
A woman known as Gilda Ghanipour was constantly on the run because she feared deportation to her mother country of Iran. She was born as a Muslim, but had never truly been devout. She had lived with her husband in for a number of years in Germany, but was accused of being a spy upon returning to Iran. This experience caused her to fear her mother country and the imposing nature of Islam. After divorcing her husband, she would constantly visit her relatives in California. It was her where she had a life changing experience.
During a stay in California, an evangelical Christian knocked at her door and talked to her about Christianity. Gilda felt that this was what she had been long searching for, and was baptized in 2000. Unfortunately, her family did not take to the conversion as readily. They in fact alienated her and made her fearful of deportation. Apparently, converts from Islam can be put to death in Iran. It's no wonder Gilda was constantly on the run to avoid deportation. She would stay at the homes of fellow Christians and leave after just a few days. Unfortunately although she has been granted asylum, nobody knows where she is.
The questions stemming from this story are:
1. Why is Islam so stringent in keeping people within the faith. It is the only religion that provides for death of converts and non-believers. Muslims seem to really have an elitist perception of themselves.
2. Why is it that Christians seek converts by any means possible? Leave people alone and concentrate more on making current Christians more religious. How many Christians even follow the ten commandments or regularly read the bible? More importantly, how many people are converted by underhanded means? Examples of this are in the past of course, with Central and South Americans, as well as in the present, with South India.