That's hardly an extreme - it's what happens in many advanced nations with universal healthcare. Taxes are collected, and part of them go to paying for medical treatment for everyone, rich or poor.
"property and rights are principles the United States is built upon."
That doesn't say anything about how long the temporary monopolies granted for patents and copyrights should last, or whether everything in every context should be patentable (e.g. software and UI design).
Intellectual property rights are important, insofar as they "promote the Progress of Science and useful Arts". When this goal is no longer being effectively promoted by the current implementation of the patent/copyright systems, then it's time to consider re-engineering them.