I would NOT recommend isopropyl at all. After all, faux fur is basically plastic extruded through a cotton candy machine, and is likely to loose it's color with repeated applications, and can cause the fur to fall out of it's fabric backing. I made this mistake the hard way… once.

If your suit (and your laundry facilities) can handle going through a washing machine, that's your best bet to remove funk, as every other method will leave behind residue (just be sure to use a gentle detergent).
Short of that, I prefer Lysol (which is ethanol based and less harmful) on the inside parts (aka fabric-only) surfaces. For the outside, A *very* light spray and brushing with original Armor-All will make your suit look amazing. Febreze can be used, just in small quantities. Don't overdo it.

And when all else fails, testing with either leftover fabric or a barely noticeable part of the suit is always the safest course.

Good luck!