The difference to me is that Obama is breaking the law and issuing executive orders without any precedent for his actions ( I believe, with considerable evidence, that Obama is a cultural Marxist radical whose intent is to cripple and destroy the Unites States, at least as we know it. His three guiding principles are 1) Alinsky's Rules For Radicals, which he himself taught to classrooms of ACORN "community organizers", i.e., marxist street agitators, 2) Liberation Theology of Rev. Jeremiah Wright, that Europeans "stole" the wealth of peoples of color, and the only way to compensate for that is to redistribute wealth from first-world nations back to third-world people of color, and 3) Cultural Marxism, taking over the pillars of Western culture such as news media, movies and television, law, and especially schools and colleges, to indoctrinate a generation in the virtues of marxism so that after a few decades the new generation willingly reject capitalism and accept a new Marxist/socialist order. Obama is acting as an enemy of the nation and its Constitution, in pursuit of socialism and wealth redistribution.

Whereas Kim Davis is acting to preserve existing law, that she has been preserving as county clerk for over 20 years.

And Davis has offered compromise, herself and through her attorney, that she would allow gay marriage licenses without her personal signature or through the signature of the office she is known to have authority over. She has offered an alternative, the judge citing her and others in the state just haven't been willing to honor it from their end.

It frankly bugs me that people of Christian faith are expected to just leave office when their beliefs are in conflict with the laws they are in position to enforce, whereas secularists, gays, multiculturalists, even muslims, are expected to be accommodated, and are permitted to advance intrusions of unprecedented law on the Christian majority, whose Christianity was the basis for the nation's founding documents, and secularist/anti-Christian activists are enabled to snuff out our Christian roots and culture, in a twisted pro-secular double standard.

Again, if that mentality were in effect when Dred Scott was enacted by the Supreme Court, the attitude of hey, that's the law, we have to respect it, blacks would still be property and not human beings, and the nation would be very different. There are a number of cases where the Supreme Court has made a ruling and other branches have not honored the ruling.
It should have happened with Roe Vs Wade in 1973. Over 40 years later, that arbitrary ruling is still dividing the nation.

If Kim Davis were a private sector employee, she probably would have been fired a long time ago. As a state employee, Davis has job protections that those in the private sector don't have, and she has used those protections to stay in her position and rally opposition to an unjust law. The longer she stays there, the greater the resistance grows to an unjust law. For once I'm glad a public employee is difficult to fire.