No. No. No. Unfortunately supply and demand are a problem. What the UK has is not “better”. Both systems are broken. Overpriced and controlled by for profit insurance companies or one size fits all. Neither option is good, choosing to run to the other to get away from what we have is not the answer. You can socialize the insurance but the drug companies and hospitals are still private entities out to make money.
Perhaps moving to insurance companies which are NOT for profit and exist to administer the funding for a patients care would be a good start.
The focus should be on moving health insurance to companies which are NOT for profit.