Airlines round the world are becoming more savy as far as offenses and convictions are concerned.
You may wish to perform a PRIA on yourself to see if the conviction appears on your FAA record. Also, you may wish to hire an attorney to see if the DUI can be expunged from your record all together.
Falsification of an application will not only lead to immediate termination of employment, but the reputation spreads rather quickly... just read PPRUNE for example.