Not at all. Not all old people are idiots and not all young people are geniuses. Get rid of the minimum age requirement for prez too.
There should also be no "terms" and "term limits". You're voted in. If at any point you face a vote of no confidence, there's an election. That might be 30 days in, it might be 15 years later. Sometimes it takes long periods of time to fix issues. And with a 4 year cycle where 3.99 of it is campaigning, nothing can get done.
No, that's actually how most functioning governments work. Just Americans are too ignorant to know anything about the rest of the world.
Americans love to say "it's an experiment". It's just a Republic and it has failed. A parliamentary democracy works and is why everyone else does it that way.
And you're ignorant. Go learn how a parliamentary democracy works. And how every functioning democracy in the world, uses it. Then reevaluate your idiocy.