Food with mold okay to eat if mold is removed?

Some yes, others no.

If I found a piece of bread with mold on it, I would toss the whole loaf. Bread mold is often hard to see, and spreads so rapidly that it's nearly impossible to make sure you're not eating mold.

As for cheese, it's pretty easy to spot the mold and cut off just the moldy portion. I do it all the time.

So, it depends on the food. I would not mess with meats or any liquids showing mold. And if vegetables are showing mold, they're probably already rotten and gross.