I have a '65 CE-100D and other than that mine originally had the dual humbuckers, it's the same instrument as the '59. I just got done putting the GFS NYII single coils on it, but that's for another thread.
For comparing the two, it is going to depend upon what you want it for now, vs possible future uses.
The CE has a laminated top as compared to the solid carved top on the ES-150, and each type will have their own character, acoustically. The CE-100D compares better to the ES-175 (ones with dual P-90s, anyway) than the ES-150.
Basic Comparison
ES-150:
-- solid carved top, I believe. Some jazzers think that solid is better for clean jazz soloing, but they would usually also use a guitar with a floating pickup and not one with it cut into the top, like the ES-150.
-- doesn't have a cutaway for easier higher fret access
-- single P-90 which will (mainly since it is in the neck position) give you one kind of a tone that is best for jazz comping and some clean tone solos
-- In case you care, a post-war model ES-150 has lower collectability than the pre-war ones, but still is slightly better collectibility than the CE-100
CE-100D:
-- laminated top, similar to an ES-175
-- has a cutaway for easier soloing up the neck
-- two single-coil Franz pickups, which, I'm told, sound similar to p-90s. With two pickups you'll have more versatility, not only for cleaner jazz tones, but if you ever want to get into the gritty side of things for jump blues or rockabilly, it'll be much easier to get a good tone for that.
-- Compared to an ES-150, slightly lower value on the collector market
You'll have to be the one to decide which features are the most important to you. Make sure you give us all the details when you decide, which ever way that is!
Scottie