Waring: Anecdote ahead (which will swerve into a salient point, I promise)
I grew up hating coffee. I didn't really like hot drinks in general; but the idea of forcing down this bitter or acidic concoction with my breakfast (even with sugar, cream, etc) had NO appeal to me. At the time, your morning cup of coffee in the typical US household probably meant Chock Full o'Nuts or Folgers. Going out, it came free with your meal, and you ordered it with cream and/or sugar. That was about it.
Then… sometime in the late 80s, a friend offered me something like a "Mocha Frappuccino." Never heard of it. You could hardly call that "drinking coffee" — it was more milk shake than anything else — but I actually found the experience somewhat pleasing. Not wanting to bring out the blender every time to make one of these things, I soon learned that a mixture of half coffee, half cream (with caramel, chocolate, or other flavorings with ice) was a pretty good substitute. Eventually I could cut back on the cream (and the calories that come with it) by learning to make better, smoother coffee. Even though the coffee drinks were getting "stronger", I still found it pretty good. Eventually I developed an appreciation for the coffee itself — and soon the art (and the challenge) of making a really. Good. Cup. Of. Coffee. And so it goes.
The point being —
If you feel somehow unfulfilled for not having developed a "taste for wine", try a wine drink that you may like. Wine is a diverse subject with a lot of range. You might start with a sweet sparkling wine or champagne you can mix with fruit juice (mimosas are something generally enjoyed by even non-drinkers). Perhaps something completely fruity like an Arbor Mist Strawberry White Zinfandel (low alcohol, high fruit, found in almost any grocery store). If that's not to your liking, try a wine-based cocktail like a wine cooler or spritzer. Now we're getting into "anyone can drink" territory.
If you develop a taste for anything I mentioned above, you may just develop a taste for the main ingredient: the wine. You can start experimenting in the sweeter wines (Barefoot Moscato; soooo sweet it may debunk what you think of as "wine"). Eventually you may find something palatable and work your way back towards what we think of as a traditional table wine.
If you never learn to enjoy wine, I wouldn't fret over it too much. Wine is meant to be enjoyed… but if it is not something to your taste, stick to the culinary pleasure that you do find pleasing. Enjoy!