Yep, I was just going to tell you to put it out in the garage for a lower temp "cold crash". The colder you get it (without freezing), the more it will clear up.
Also, you might want to consider getting some Whirl-floc tablets (irish moss in tablet form). They are really cheap and all you have to do is drop a tablet in the boil around 10-15 minutes before you kill the flame. If you do use whirl-floc, be aware that you will get a LOT of cold-break material when you chill the brew kettle. Don't worry too much about transfering some (or all) of this sediment. It is hard to keep it out of the primary bucket, but after the fermentation is complete, you will have clear beer. Personally, I just try to keep the heavy sedimetn (mostly spent hops) out of the primary, but honestly, I have dumped EVERYTHING into the primary several times and it doesn't seem to matter at all.
Also, after you bottle, if you can put all the beer in an extra fridge for 2 weeks the bottles will clear nicely. If you can't do this, just keep the cases of bottles in the garage (you said it was 40F, that's pretty cold! you could drink them straight out of the garage IMO).
and mostly.. don't sweat it. Many beer styles are not intended to be clear anyway. A little haze won't bother anyone except the most picky, bitchy, ungrateful recipient. If they don't like it, don't let 'em have any of your tastey brew!!
Good luck in your new found addiction