Wrong, Obamacare doesn't force abortion on the Catholic bishops in any way unless you subscribe to their belief that a fertilized egg becomes a fully invested human being. This concept also known as "personhood" was put before voters in conservative Mississippi and was defeated. It also goes against the writings of Church Fathers like Augustine and Aquinas. When the church operates an entity in the commercial world like a hospital, college or university that serves and hires non Catholics and competes with non Catholic entities then they can't force their beliefs on those that don't adhere to their faith.The true American Christian is not fooled by false prophets and can easily recognize prayer in a man's face. Their spirituality gives them wings to reach God. They can see real and Obama is anti-Christian. Obama's health care plan caused the Catholic Bishops to sue Obama after he forced abortions down their throats. Obama's Arab Spring opened the door for Christian persecutions in the Middle East. Obama's media portrays Assad as a devil, yet Assad protected the Christians. At least one priest was martyred as shown in this video. Thank Obama for his freedom. The priest was murdered by the US backed rebels and many Christians have been killed or have fled their homes all because the Amerikan Nero wants it.
Obama won the Catholic vote despite the pronouncements of the bishops. Catholics by and large don't hold any allegiance to bishops who are assigned by the Vatican without any input from the people in the dioceses that they rule.
I notice that right wingers like you seem to ignore the fact that Christians in Iraq suffered forced dislocations and many were killed following our invasion of that country. If the Syrian Christians put their support behind the Assad regime which is killing its own people then they have no one to blame but themselves. It's all the more reason why religious groups should stay away from politics.