Alcohol destroys, doctors and scientists know that. The only reason it's even legal in western countries is because it's part of a long tradition dating back centuries and even millennia, before alcohol was even discovered to be harmful to health. They can't suddenly ban alcohol, not to mention the massive profits their economies make because of it.
Us, Muslims, on the other hand, neither have alcohol as part of our cultures and neither do most of our economies rely on it for profits.
Whether it was meant to be an Islamic Republic or not matters very little. The fact is that today Pak is an Islamic Republic.
And yes, no compulsion in Islam, hence why I said: If you're already an alcoholic then good for you; go do your pleasures in a dark corner somewhere and don't drag us all into it.
Also, if you hate "Mullahs" so much, I suggest you leave Islam? I'm sure you know, but even the Prophet was a "Mullah".