Likely what you are tasting is not just alcohol. New red wine is very tart.
Like ibglowin said, give it some time. Patience is a wine makers best friend.
You don't actually get a "burn" from alcohol unless it is at or above about 40% ABV. You can try this with vodka - add enough water to get the ABV down to about 30%. At that level about all you taste is sweetness. (I know I'll get some argument, but vodka has little taste other than alcohol.)
At typical wine ABV levels, alcohol tastes a little sweet, but adds boldness, character, and volume to a wine.
An interesting experiment I have read about is to overwhelm your taste buds with alcohol, which is just below 40% ABV; then quickly take a taste of your wine. Because your taste buds are overwhelmed with alcohol, you will not be able to taste any of the alcohol in your wine. The result of this test will be - what your wine would taste like, if it had no alcohol in it.
A similar test can be done with oak, tannins, and sweetness.
This coming winter, using these tastes and this technique, I am planing to have a wine tasting with my close friends. It should be fun.