If we can get away from demagogery for a bit, the idea that life came from non-life, otherwise known as abiogenesis, is the biggest problem that non-evolutionists have with the current bundle of ideas classified as evolution. The second biggest problem is the idea that living things, not to mention their interrelationships, appears to be the result of a directed, motivational force rather than the simple reaction of elemts to the laws of physics.
It is probably true that I can't give you a good scientific explanation for why abiogenesis seems to be such an unreasonable conecpt, but that would be a limitation of my ability to explain myself scientifically, not a limitation of the problem I have. Similarly, I may not be able to scientifically explain how Mt. Rushmore is obviously the work of a directed, motivational force while the former Old Man in the Mountain on Mt. Washington was obviously not. Again, that's a limitation of my ability to explain, not of the concept I am trying to explain.
In my opinion, it is self-evident that natural forces don't organize elements into living things, and especially into complex systems of living things. The fact that finch offspring display a preponderance of different kinds of beaks depending on the kinds of food available in different environments finches inhabit does not make it any less self-evident. All the wishing in the world won't put the claim that I am wrong on the same footing as the claim that the world is round.
Shalom.