Would a modern nuclear-powered battleship be practical?

Could a fast, escorted nuclear-powered battleship with long-range guns, armour against 6-inch and smaller guns, and missile defences be practical?

The proposal would be called a battlecruiser or cruiser. Advanced guns could return if barrel metallurgy improves, although no detailed feasibility assessment is offered.

The viewer proposes a fast, nuclear-powered ship with escorts and large guns for long-range artillery support. Its armour would protect against 6-inch and smaller guns, while inexpensive defensive missiles would provide additional protection. The reply classifies that proposal as a battlecruiser or cruiser and leaves detailed feasibility to other discussions. Large guns, especially electromagnetic railguns, could return if their barrel metallurgy can meet the demands placed on them.