Is it weird that I like my red wines Slightly chilled? Or is this normal? I constantly hear that we should be drinking reds at “room temperature."
No, it is not weird. In social situations, such as hosting an event, you should serve the wine at the recommended temperatures only to meet the expectations of your guests. If you are just talking about yourself, you should drink it at whatever you find the most pleasurable.
There is much too much nonsense surrounding wine where perceived quality depends too much on the design of the label, the price, and the reputation, and very little depends upon the actual liquid itself. There is a reason that wine competitions are not blind tastings because the few times they have done them that way, the recognized "best" have not done so well. The California wine industry burst on the international scene because of the infamous Judgement of Paris, which was done blind (at least one of the French judges was so outraged that California wines won, that she demanded her ballot back for the wines they themselves heaped much praise upon). In a delicious bit of irony, in blind tastings "Two Buck Chuck" has taken double gold medals in blind tastings over the "best" California wines, leading to some California wine industry people to cry foul over the results just as the French did 25 years earlier.
Drink what you enjoy served however you enjoy it best, because isn't that the whole point in the first place?