Most household and building debris is fine, but Wisconsin's list of banned items is longer than most states, and it's worth reading before you load.
The Wisconsin Department of Natural Resources is blunt about the scope. The state's recycling law bans landfilling or incinerating many recyclable or compostable items, and those bans apply everywhere in the state to material from homes, businesses, schools, institutions, and events. They are not household-only rules.
The banned list covers lead-acid batteries, major appliances, many electronic devices, aluminum cans, corrugated cardboard, magazines, newspapers, office paper, glass containers, number one and number two plastic containers, steel and bi-metal cans, waste tires, yard material, waste oil, and used oil filters. On a remodel, the ones that catch people out are appliances, cardboard, and old electronics.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos stay out of a standard container as well. Muskego's own rules give lead-acid batteries, appliances, waste oil, and yard waste their own handling routes rather than allowing them in the trash.
The city also requires every load hauled on its streets to be covered or loaded so nothing can escape. In practice that means filling the container level rather than heaping it, which is also how you avoid a refused pickup. Ask your account manager about anything you're unsure of before it goes in.