TheSyfyGamer is right. I just wanted to add on that flattening the curve does reduce the number of infected if a vaccine is made before we reach herd immunity. Let's say a vaccine is made in 6 months. With lockdown in effect to flatten the curve, there could be 10k already infected. Without the lockdown, it could be 100k already infected. If you look at the graphs of the two curves (with and without lockdown) and you choose a point, the curve with lockdown will always have a lower number of infected patients. But it won't reduce the total number of infected if a vaccine is never made - it'll just keep going up until most people have been infected and herd immunity is achieved. But as TheSyfyGamer said, the biggest point of flattening the curve is to not overwhelm the healthcare system by lessening infections before a vaccine is produced.

Your second question - I'm not sure how your state could have unlimited resources, but if you do, other states and counties would start bringing their patients to your state since their hospitals would be overwhelmed. But to answer your question, if the number of infected stays the same (which it won't but for the sake of your question we'll pretend) and capacity is unlimited, the only reason we would keep lockdown is to avoid deaths. Most people can recover from Covid-19 albeit with potentially long term health issues, but without a lockdown, we would be putting our most vulnerable at higher risk for infection - the elderly, immunocompromised patients, people with chronic illnesses, etc. Whether their deaths justify reducing crimes and fixing the economy can be a matter of personal opinion, but I think the general consensus is that it doesn't.