you can't accept the premise that a politician doesn't require much experience to become president.
Why? Cheney had tons of experience. Should he be president?
I actually think principle is more important than experience.
You are confusing a necessary condition with a sufficient condition. Experience is necessary, but it is not sufficient: other things are important, such as intelligence, knowledge, patience, humility, etc.
edit:
To be qualified to be president, you need experience.
If you don't have experience, then you are not qualified to be president.
Q --> E
~E --> ~Q
E = experience
Q = Qualified to be president