I don't think cold crashing for 2 days will really accomplish anything (especially at 40° F), nor do I think 65° F is an appropriate temperature for bottle conditioning.
I would cold-crash for at least a week, and much closer to freezing (32° - 34° F). Pouring in a gelatin or isinglass solution 2 or 3 days in will help even more.
If you're bottle-carbing (and it sounds like you are), then you should keep the bottles at around 70° F or warmer for the first 3 weeks. I'm not sure 65° is warm enough to effectively carbonate in 3 weeks.
And yes, even with cold crashing and gelatin/isinglass, there will still be plenty of yeast in suspension to bottle-carb.