I think people will sign up for health insurance based on the cost and benefits of the insurance plan rather than how a penalty of $95 will impact their 2014 tax return. Eliminating the individual mandate but keeping the exchanges and subsidies would allow this to happen. The $95 tax does nothing but ensure that those people who can least afford it will be paying more taxes in 2014.
President Obama states that the Affordable Care Act is law. I guess this applies only to the general population since he has changed the law a number of times, including delaying the employer mandate. The individual mandate is only one of many opportunities to negotiate. Our politicians can end this shutdown quickly by putting the good of the American citizens ahead of political ideologies.