I have experience with both programs, i don't own Ableton, but i'm in an electronica trio and my bandmate uses it when we go live, so here's my take.
Ableton does some pretty cool stuff, but having run the two programs side by side on stage for several months now, if i had to pick one i'd still easily take Logic. The thing about Ableton is it is very easy to use, and some of the really cool effects are immediately available and very easy to use as inserts. You don't necessarily get these sorts of effects in Logic (i'm talking mostly about the stutter and granular effects which are huge in electronica). If you want this stuff in Logic you really have to either do it manually or get a third party plug.
If you're going from Logic to Ableton as your main DAW, then you're taking a step backward and you'll realise it as soon as you get started. However if you were to get Ableton to make use of some of its effects via Rewire, then i'd say that's the best way to go.
If you want it just for loops and beats though, i'd recommend getting Stylus RMX Xpanded over Ableton. The time stretching functions are MUCH better (Ableton's are actually a little disappointing imo.) Stylus RMX is pretty much the best, and nearly every professional composer or producer i know and respect uses it.