We had a couple come to our protestant church a while back. They sat there reading their satanic bibles and getting really really uncomfortable. I guess they wanted to disrupt the service but God had other plans for them. I don't remember if they came back and got saved but I know a lot of seed was planted that day.
Bummer on not being able to follow your conscience while serving
It's not a matter of "following his conscience." The disposition of another's soul is not yours or mine to judge, or their worthiness to receive the Eucharist.
Burke's stance has more to do with the scandal that is created by politicians taking positions publicly that contradict Church teaching.
There are likely lots of Catholics who are, wrongly, pro-choice, but they keep their mouths shut, so nobody knows.