Real life quantum physicist here. When you say you want the uncertainty principle to be bigger, what you are really saying is you want Planck’s constant to be a bigger number. This has much bigger consequences than you might expect, because if nothing else about the universe changes (for example Coulomb’s constant) then the energy levels of atomic transitions all get out of whack, you break chemistry and chemical bonding, and there is no such thing as a basketball because there are no such thing as rubber molecules.
A good way of exposing this idea to people is showing them the step by step of how to get the particle in the box energy equation and then generalizing it for 3d.
It becomes really obvious the issues that happen when you have degenerate states.