With a reasonable definition of 'big,' then a big government certainly should be abolished. Government operates through force, it does not make suggestions it gives commands. Since force can only rightfully be used to protect rights, a government has definite moral limits. Big government destroys liberty, instead of protecting it.
Right now, the size and spending of government is out of control. It needs to be reduced to something that is manageable and can be paid for with the revenues that we actually have. However, government still needs to be big and powerful enough that it can protect the nation as well as regulate big corporations that would otherwise be just as pervasive and corrupt as big government.
Government senators, congress and others get paid way too much, smaller government means less money that taxpayers have to pay for people who do nothing but argue with each other all day long. A lot of people these days have become dependent on the government, and if they lessen the size of the government it may also help with this problem.
Big government should not be abolished. Although government should always be regulated to prevent abusive dictators and other things, there is a tremendous and important need for government. People generally know right from wrong, however they are also very selfish. It is important for people to be governed by people that are capable of preventing utter chaos from occurring in a completely free world.
The government is what gives us everything we need in our daily citizen lives. The government protects us from terrorist and international threats, and also ensures us a good paying job and thriving economy. The big government, is what makes America strong. If we let states secede from the union, what would happen is a loss of status, and a vulnerability to attacks.
Assuming this question pertains to the United States, what big government? Even with Obamacare we still don't have universal health care.
Compare the US to all the countries in Europe where literacy rates are higher and people live longer and you'll find we clearly don't have a problem with big government.