Doubtless there are some in the Catholic Church aiding and abetting. That has nothing to do with legitimate charity work or legitimate offering of religious services. Neither of those are criminalized under HR 4437. That is a pure work of fiction conjured up as a strawman to scare Catholics into opposing the legislation.
I just want to throw my two cents in this part of the argument, if I may.
I am not Christian, nor am I Catholic. I do, however, recall the historical significance of the tradition of "sanctuary." While it may be true that the church is doing what they do for the money, and I acknowledge it is certainly VERY possible, the fact remains that they church has always held the tradition of sanctuary as a very important facet of their operation.
I will not begrudge the church for allowing illegals to enter the church for safety.
With that said, the moment the illegal sets foot outside the church's walls all bets are off. "La ley" is what matters then.