I can't compare an Anderson to a Luke all that much. I tried a Luke, did not like the feel of it. I used to own an Anderson.
One thing I did that was mentioned earlier was, I changed out the humbucker and replaced it. I did not like the one on the Anderson. However, it had the switcheroo which I really liked and it was a tone monster.
I play with quite a bit of distortion and the Anderson was fine. It is a great instrument. However, I gave it to my friend who was in need.
I have my Petrucci's (even then) and when it came time to part with a guitar for my buddy, the Anderson went. My friend, was very appreciative. He loved my Mystic Dream Pet probably the best, but, I ain't gettin' rid of my EB's.
I like the sound of the Luke and the Anderson. The Luke just did not fit me as well as the Anderson.
Both are great guitars. Price wise, get the Luke. Anderson guitars, while they are awesome and look great, are not worth the price tag that comes with them in my opinion. I have 3 Pets that would beat them down and I can get 2 of the JP's for the price of 1 Anderson and be twice as happy!
