I am guessing by the fact that you are asking this question that you have never ridden up a long alpine climb before, Alpe D'Huez is actually far from the longest or hardest but still is about 10km long and climbs 1000 vertical metres, so is like nothing you will climb in this country, or even close.
The steepest bits of the climb are actually the ramps up to the first 2 hairpins which I am sure you would probably get up one way or another, either by good fitness or will power! The danger is that you do yourself some damage on these early bits when you have still got a long way to go with steady gradients all the way. Most ordinary cyclists would want a gear that they can spin quite comfortably to do that. Don't be fooled by watching pros do most of it out of the saddle, that is not something most mortals can do!
When I did it a fair few years ago, it was on a touring bike, so a lot heavier than your but I needed to use a triple and a granny gear on the back. From memory it was 48/38/28 and a rear sprocket with a 32 on it. I think I used the 32 on the steepest bits and the 28 on the rest, I was in the small 28 front sprocket all the way up. Once I got into a comfortable rhythm and past the first 2 hairpins, I did not find it to hard and did the whole ride without stopping. I kept it in an easy gear all the way up though and felt very elated when I got to the top.
If I was attempting it now on my road bike I would be happy with my 50/34 compact but I would be having a debate with myself as to whether to go 30 or 28 on the rear. For the record I am 50 years old now but still pretty fit, doing 5000 or so miles a year including a lot of endurance rides. I currently weigh in at around 85kg, about 5 kg heavier than I was when I did it the last time.
Obviously you have not said what kind of a cyclist you are, or how fit you consider yourself, but I suspect most riders at the more leisure end of the spectrum would be better off using a compact chainset than a standard 53/39. If you do go with the standard then I would suggest the biggest possible gear you can get on the rear!