'quitimate' was coined as a response to the quip 'too legit to quit'. 'too legit to quit' refers to something too good to stop (or an MC hammer song), and 'too legitimate to quitimate' is a knockoff or mockery of this.
The rest of the United States finally forced Texas to quinticate by a vote of 300 million to 23 million. The end of Hubris was expected soon, and there was dancing in the streets.