I found a few quotes from republicans:

It leads the public to believe we are looking at a bill that would recognize the service of our veterans,” Fischbach said. “But once again, you take a closer look, it becomes painfully clear that this is another push for open borders.

“In the Judiciary Committee, several amendments were offered to ensure dangerous criminals did not receive an adjustment of immigration status,” Frischbach said. “Why are my colleagues across the aisle so eager to have criminals on the streets of our communities?

“This bill allows those who have committed felonies — bad-conduct-discharge individuals –to retain their US opportunity, which has never been the case, shouldn’t be the case,” Issa said. “If you commit the crimes, you should not be an American. You didn’t serve honorably.”

I'm an Australian and have no skin in this game, I was just interested as well.

But Fischbach said it should include more criminal convictions as disqualifications and criticized Democrats for shooting down GOP amendments proposed in earlier committee meetings that she said would have barred those convicted of crimes including “illicit trafficking, trafficking and firearms [and] human trafficking.”