[Doctor Stochastic]

The Second Law says that if you leave a material system to its own devices, entropy -- heat death -- takes over, not life.

No it does not. There are various formulations of the second law. None of these are violated by abiogenesis or life, etc.

The primary manifestation of the second law is that no process can convert heat to other forms of energy with 100% efficiency. Living things do not extract 100% of the available energy. Nearly any process is possible if there is enough energy; some processes are just less efficient than others; no process is perfectly efficient.

All this is covered in elementary thermodynamics courses. Physics-oriented courses talk about heat engines and chemistry-oriented courses talk about chemical reactions.

[BMCDA]

What these people basically claim is that certain chemical reactions (e.g. abiogenesis) which lead to molecules that obviously exist, violate the second law of thermodynamics. That these molecules contain less energy than their constituent elements and are thus energetically favored seems to not bother them.
What they also fail to mention is the complexity barrier where their version of the second law kicks in and prevents the formation of more complex molecules.