Here are some problems that _don't_ prevent people of any age from becoming a congressman or woman:
- Alcohol abuse
- Narcissism and/or sociopathy
- High debt
- Cult membership
- Most importantly: Personal financial interest in specific policy changes
Why not start with these? Banning elderly because they on average tend to be more gullible seems like a weird way of addressing governmental issues.
On a different level, I find the idea of banning people from governmental positions based on a specific trait deeply undemocratic, and a slippery slope. Principiis obsta.