You have the right to life. Government may not take it from you (uh...in theory). You do not have the right to demand resources (time, money, work, services) from people to keep you alive. That would go against the word "Liberty".
None of this actually deals with the root of the problem: health care costs in America are extremely high compared with costs of the same care in any other developed (or undeveloped) nation. We are throwing money away on insane drug and administration costs and getting angry at people who don't support this.
So let me get this right, it says you have the right to life, but you actually don't as long as it involves anything but explicit outright murder by the government (which uh, it doesn't even actually include that...)? Seems like there's a contradiction there?
How would the government providing health care coverage, which will automatically include managing costs, not deal with the problem of health care cost? What people are we angry at that don't support this? Because I don't know if you've actually talked to Republican politicians but they absolutely fucking do support insane drug and administration costs via their demand that it should be up to the free market. Which makes sense when companies can get sole rights to produce a drug, that sure sounds like a free market to me. Likewise, location for a hospital means that in health care situations, you're going to go to the closest one, not have time to fucking shop around and go "oh, but we could possibly save some money if we drive an hour further away". Again, free market cannot fucking control shit like that.
To be fair though, we definitely have been mad at Democrats when they don't support that shit, but they did what they did because people will blindly support Republicans (or even not blindly now, they openly gloat about Republicans fucking everyone over, but as long as liberals are getting it too, its all fine), so they tried to find a way to improve things while compromising with Republicans. And then, even though its shown to be successful, the Republicans did nothing but try to sabotage and tear it down, openly admitting they have no plan to improve any aspect of it and knowing it would fuck over millions of Americans (and tearing down the ACA will in no way stop the cost of health care problems), but they just have to let it fucking burn "because Democrats".