Why a British military coup is institutionally unlikely

A coup would first have to unite many units and services that do not automatically share one political choice. British service members are citizens who vote, and their allegiance runs through the monarch as commander-in-chief rather than to an independent military regime. Without support from the monarch and a broad cross-service coalition, an order to overthrow the government would fracture instead of simply passing down the chain. Taking power also means accepting the administrative burden of running the country, which armed forces organized for military tasks have little reason to seek. Military loyalty is institutional and divided rather than a single lever waiting to be pulled.