If you were in charge of hiring an executive for a company that manufactures automobiles, would you choose an Amish person who believes that cars are an offense outside of the will of God for the world? Of course not. The assumption would be that at the very best, that Amish person would do a lousy job. At worst, he would actively try to sabotage the efficient running of the company. It would be stupid to hire him regardless of how good a businessperson he had been, his personal character, his other skills, his integrity... you would be hiring him to do something that at his very core he believed is a worthless or even evil endeavor.
Why then would any vote for the current drop of Republicans? Their philosophy of government goes back to that famous Grover Norquist quote - "I'm not in favor of abolishing the government. I just want to shrink it down to the size where we can drown it in the bathtub." That was underscored by the economic ideas of Milton Friedman who taught that government intrusion in anything is problematic and that free markets always work and are the only thing that works. The Republicans simply do not believe the government has any role other than the military and even that, they have gutted and privatized to a significant degree, handing off many traditional government functions to private contractors whose primary allegiance is not to the public good but instead is to maximizing profits. The response to Hurricane Katrina was not ineptitude of the government, it was a logical expression of the idea that private for profit enterprise should do everything and there is no government role.
Yes, our government is dysfunctional right now... but it large degree that is the plan of Republicans currently in office. Put in more and things will become even less functional because they do not believe in government. They want to shred all public safety nets - social security, WIC, welfare, etc. etc. because they do not believe that is the role of government. They want to destroy public schools and replace them with private ones because they do not believe it is a government responsibility to educate our children. They want to remove agencies that check our foods and drugs for safety because they believe the free market will take care of that. They want to gut any support of government sponsored scientific research, allowing companies to research only what is immediately profitable for them. They want to add more Supreme Court Justices who support a corporatist state where billionaires and multi-national corporations are unfettered. The list goes on.
There are Republicans who are good people but as a party, I say this with fear and trembling, they are working to shred everything that makes for a civil society. I would not hire someone who does not believe in cars to run an automotive company. Why in the world would anyone vote to put someone in office to run the government when their sole intent is to destroy the government or at least shrink it until it can be drowned in the bathtub?