Chuck Todd (and/or Mark Murray, Domenico Montanaro, and Ali Weinberg) of MSNBC offer this:

One of the reasons why the public appears so wary about Obama’s health-care plans is due to all the misinformation out there. Majorities in [a new NBC News poll] believe the plans would give health insurance coverage to illegal immigrants (55%), would lead to a government takeover of the health system (54%), and would use taxpayer dollars to pay for women to have abortions (50%) -- all claims that nonpartisan fact-checkers say are untrue about the legislation that has emerged so far from Congress. Additionally, 45% think the reform proposals would allow the government to make decisions about when to stop providing medical care for the elderly, which also isn’t true.

This illustrates once again why it would be nice if I could get some help in my attempts to discredit "nonpartisan fact-checkers" like FactCheck, Politifact, and Snopes:

1. According to FAIR, illegal aliens would be able to obtain coverage, at least given the state of one of the bills (link). More importantly, Obama himself says that his goal is to get around giving healthcare to illegal aliens by simply legalizing them first. And, he wants illegal alien children to be covered under his plan.

2. Even the Associated Press admitted on August 6 that "Health care legislation before Congress would allow a new government-sponsored insurance plan to cover abortions" (llink).

3. The other two points are basically a matter of opinion and forecasting. Since a national healthcare scheme wouldn't have unlimited resources, some form of rationing would have to come into play, and that would involve the government deciding that some groups of people get more resources than others.

UPDATE: Calvin Woodward of the Associated Press offers what's called by the Washington Post "FACT CHECK: Health overhaul myths taking root" (link). It came out about 12 hours after the First Read article, it addresses the same poll in the same way, and it's also misleading. Woodward states that "[t]he proposals being negotiated do not provide coverage for illegal immigrants." See the first above. On abortion, Woodward basically admits that critics could be right: "[y]et abortion guidelines are not yet clear for the government-supervised insurance exchange. There is strong sentiment in Congress on both sides of the issue."

UPDATE 2: For a detailed explanation that, yes, illegal aliens would be able to obtain healthcare under the plan, see this. See also this August 3 article from Rep. Lamar Smith:

The Democrats’ bill in the House, H.R. 3200, contains gaping loopholes that will allow illegal immigrants to receive taxpayer-funded benefits. And these loopholes are no accident.

The legislation contains no verification mechanism to ensure that illegal immigrants do not apply for benefits. Republicans offered an amendment to close this loophole — it would have required verification using the existing methods that are already in place to verify eligibility for other federal benefits programs. But, when they were asked to put the language of the bill where their words were, in a party-line vote, House Democrats rejected the amendment to require verification and close this loophole.

The bill also leaves open the possibility that if one citizen family member is eligible for benefits, then the entire family — including illegal immigrants — is also eligible for the benefits.