If you think that term limits of legislators at all levels will solve all of our government problems, then you better impose term limits on another group.
We will need term limits on individual lobbyists. If we don't then experienced lobbyists will walk all over inexperienced legislators. See "The Fixer", James Fallows, The Atlantic, June 2013. It is about Gov. Jerry Brown and California politics. California voters imposed term limits. "Because legislators don't know what they doing, they're more under the permanent influence structure of lobbyists and bureaucrats."
But we'll also have to have term limits on lobbying firms. The experience of their term-limited lobbyists will just be passed on.
We will also have to have term limits on corporations. They will just pass their experience from one lobbying firm to another.
While we're at it, why not term limits on political donations. If you donate to a candidate, then you can't donate to that candidate or that particular office until the term limit expires. For example, if the term limit for the House of Representatives is six years, then you cannot donate to any candidate for that seat for six years.
The law of unintended consequences will bite you no matter what solution you find for current problems. Gov. Hiram Johnson gave California voters the initiative to create law. This was supposed to be an antidote to the control that the Southern Pacific had over legislators. Now, deep-pocket corporations use the initiative to promote their own interests. Propositon 8 on limits to property tax brought California's spending on school systems to second in the nation to somewhere in the 40s.
Be careful what you ask for, you might get it. And then some.