Interesting wiki entry about commonwealth.
Members with heads of state other than the Sovereign
The issue of countries with constitutional structures not based on a shared Crown but that wanted to remain members of the Commonwealth came to a head in 1948 with passage of the Republic of Ireland Act 1948, in which Ireland renounced the sovereignty of the Crown[14] and thus left the Commonwealth. The Ireland Act 1949 passed by the Parliament of Westminster offered citizens of the Republic of Ireland a status similar to that of citizens of the Commonwealth in UK law. The issue was resolved in April 1949 at a Commonwealth prime ministers' meeting in London. Under the London Declaration, India agreed that, when it became a republic in January 1950, it would accept the British Sovereign as a "symbol of the free association of its independent member nations and as such the Head of the Commonwealth". Upon hearing this, King George VI told the Indian politician Krishna Menon: "So, I've become 'as such'".[15]
The other Commonwealth countries recognised India's continuing membership of the association. At Pakistan's insistence, India was not regarded as an exceptional case and it was assumed that other states would be accorded the same treatment as India.
The London Declaration is often seen as marking the beginning of the modern Commonwealth. Following India's precedent, other nations became republics, or constitutional monarchies with their own monarchs, while some countries retained the same monarch as the United Kingdom, but their monarchies developed differently and soon became fully independent of the British monarchy. The monarch of each Commonwealth realm, whilst the same person, is regarded as a separate legal personality for each realm.
I can expect this anwer from you as you yourself is living U.K....
But you know their huge difference between being Ashamed of your Past and being Proud of your shameful Past...
I would have said the same if I was living in france. (Lot of french would have hated me though, they always envy how british can carry forward their legacy and they cant...)