How do organophosphates actually work?
Hundreds of OP's have been made since the 1930's. Phosphoric acid is used in Coca-Cola and organophosphates are esters of H3PO4, you can study ester lipid/aqueous drug chemistry. They have many different targets: http://www.scielo.br/img/revistas/jbchs/v27n5//0103-5053-jbchs-27-05-0809-gf04.jpg

OP's are lipophilic. Lipophilic substances can dissolve into cell walls which are lipid bi-layers, straight into the DNA of cells and also into the nervous system.

They can travel through cellular membrane, alveolar and dermal membranes, through dermal glands, cell walls and from one organ to another. The degree of lipophilicity of drugs cause them to either stay inside the cell membrane or go through. Prozac also being lipophilic. The body is made of a mostly aqueous phase and also a lipid phase.

Many OP's contain Sulphur and they are bioactivated through desulfurative oxidation and turned into the corresponding oxon form by the liver so the organic chemistry inside the body is very complex: dealkylation, dearylation, phosphyrylation, carboxylation, hydrolysis and they are very reactive with metabolic compounds in different phases. They can be combined with absorption facilitators to pass the skin barrier and paired with radicals which are activated by the liver.

A recommended text on the toxicity: http://www.scielo.br/scielo.php?script=sci_arttext&amp;pid=S0103-50532016000500809

OP and acetylcholine are both esters.

Here's a good chemistry animation of AChE enzyme inhibitor process: https://youtu.be/fIvF1rhp1nA

And this one, about non-competetive inhibition of AChE:
https://youtu.be/_jfGKbbZStw
general AChE info:
https://www.youtube.com/watch?v=-gIqZ8IxctE

AChE inhibitors that affect lots of organs such as peripheral and central nervous systems, muscles, liver, pancreas, and brain.

They lead to a characteristic toxidrome of hypersecretion, miosis, dyspnea, respiratory insufficiency, convulsions and without an antidote, death.

They can bind to fatty elements inside the body, like the central nervous system. They can exert damage through phosphorous-alkylation of cellular macromolecules (e.g., DNA, proteins) and intense activation of pro-inflammatory pathways.