Unfortunately, iCal Import/Export doesn't work on all Droid phones/OS versions. It's unclear why this is the case, but when I try to run it on my phone (HTC Rezound, Android 4.0.3) the app's initial screen displays for a brief fraction of a second, and then it reports, "Unfortunately, iCal Import/Export has stopped." Reviews on various webpages (e.g. http://www.androlib.com/android.application-comment.at-aichbauer-ical-qjjAD.aspx?p=2) are all either 5-stars or 1-star. People who can get the program to run on their phone love it. Virtually everybody who rated it 1-star got the same error I got, and could never get it to run.
When you go to the Google Play Store to download it, the app's author has put the following in the Description section, "Attention The application is currently NOT under development because of lack of spare time. The license is open source, so feel free to fork the app, or work as a contributor. Just write a mail to me!"
The evidence suggests that this is a pretty good program in search of a maintainer, and that it probably ran into some incompatibilities in later versions of Android that would be fixed if someone volunteered to maintain it.