Why, in your estimation, can’t we have a system were people do things because they care about those things and they’re worth doing because they benefit everyone?

Because I'm not 13 anymore?

if something is worth having, people will want to have it, which means that some of those people will still choose make/do that thing for their own benefit

Let's just think that through in the most basic of necessities, food. Even ignoring the craziness with meat production, we'll just assume everyone is a vegetarian.

Mass food production requires several inputs including heavy machinery and fertilizer. Fertilizer requires a bunch of chemical inputs as well as a stunning amount of electricity and heavy industry. Most of it comes from abroad. The heavy machinery similarly requires a lot of fabricated metals, circuitry etc. So at this point, we need people to get together independently to run: several different types of mines for the chemical and metal components, build intricate heavy factories, then ship the results over seas for long distances on the hopes that someone else will do something nice for them eventually.

Okay, now lets say these inputs get to the fertilizer/farm equipment factories, which other kind people spend time operating again, on the hope that someone will do something nice for them. Cool. Now, those inputs need to get to the farms, which are probably not located next door. So, we need the intricate processes for building trucks, moving those trucks, distributing goods from those trucks and of course roadworks on which to move said trucks.

And we haven't even gotten to the hassle of transporting and distributing the food. ("Oh boy, I've always wanted a chance to stock groceries!")

Another way to think of it, even in a scenario where we have money, we don't have enough people acting as teachers and nurses, you think people are going to volunteer to give random old people sponge baths for the heck of it?

This is so silly that it almost feels like you're trolling.