Not only is the 2nd law of thermodynamics not incompatible with Darwinian evolution, it’s actually a necessary component.
No entropy = no mutations = no diversity = no natural selection = no Darwinian evolution.
It’s not yet been proven that speciation exists. This is problematic.
Arguing that things go from lower to higher organisation is contrary to the 2nd Law, unless of course you have something coming in and adding things which isn’t a part of darwinian evolution.