I have a source of chicken poo, and I decided to give myself a break and just scatter it thinly. After all, sparrows poo all of the time but their poo does not burn plants because it is scattered! I have some fruit trees and blackberry plants: I set the wheelbarrow several feet away from the target area and I throw the poo with a shovel so that it does scatter. If it landed in a clump it might burn the grass.
I no longer compost anything: I never enjoyed handling a compost pile and so I quit composting. I CAN say that the idea of a compost pile is to help things rot, and if you pile things up and keep it damp they WILL rot! All of the turning the compost and adding this and adding that is just to speed things up. Approach a compost pile with confidence as it is not as hard as the books make it out to be: you simply want things to rot! And they will.
It is unfortunate that poo often has undigested seeds in it: if you are using it in a vegetable garden you might be adding weeds if the pile does not get hot enough. The pile heats up when it is rotting quickly, and sometimes a compost pile does not get hot because it is rotting slowly instead of quickly. That is where the formulas for this amount of green matter or that amount of manure: people want to kill the weed seeds. People also turn the pile at times so that the outer stuff is also exposed to the inner heat of the compost pile to kill any seeds in the outer layer. When the compost INSIDE the pile is cool then it van be used without fear of burning the plants. How long that will take depends on whether or not the compost pile has been kept damp, the ratio of poo to vegetation you used, and some other things.
I never worried much about bacteria, as sunshine kills bacteria and in any case I did not use any poo in my vegetable garden. I simply applied the compost to the trees and bushes and I never thought much about it. Since you say you want to use it on vegetables, I think that I would use it on things like sweet corn and squash. With sweet corn the edible part will never touch the compost, and with squash you can apply compost before the squash is ready to harvest, and then let the sun and the wind break down any leftover bacteria for a few weeks before you harvest.