Wunderlich says Pence's proposal is an "unprecedented, ideological attack" on a specific health care provider.
"More than 90 percent of the care Planned Parenthood health centers provide is preventive," she said. "Yet Rep. Pence is steadfast in wanting to bar Planned Parenthood, because it also provides women with abortion care."
Democrat Bill Owens represents New York's 23rd Congressional District and has been critical of the GOP leadership for passing what he has repeatedly called a "futile" piece of legislation.
He says he's opposed to any effort to defund Planned Parenthood, noting that cutting specific government programs and services for ideological reasons is not the best approach to getting the federal deficit under control.
"This is about ideological issues that Republicans are trying to focus on," Owens said. "What we should be focused on is sharing the pain and that we do things that are focused on the economy, so that we reduce the deficit and the debt and that we grow jobs."
Owens is calling for a three percent across-the-board reduction in federal spending.
Some Republicans, like Chris Gibson in New York's 20th Congressional District, have also sought lesser cuts to more programs. Gibson is among the few members of the House majority that's calling for major cuts in defense spending and the abolishment of the Department of Homeland Security.
Defense, along with Medicare, account for most federal spending.
Owens says that according to polls he's looked at, most Americans want a fair approach to spending cuts.
"That's what people are interested in," he said. "Virtually every poll you look at says that what people are more concerned about than anything else are job creation and the economy. That's what we need to be focused on - not these ideological issues."
"When you look at Planned Parenthood, 97 percent of what they do is women's health," Owens added. "Clearly, in our region which is very rural, we need to make sure we're doing as much health outreach as we possibly can."
Wunderlich says that the Pence proposal would cut off 1.4 million people from their primary source of health care.
Owens notes, however, that the amendment isn't likely to go anywhere, as Democrats still control the U.S. Senate and President Barack Obama has veto power.