I'd follow Dan's advice and not fake the info. Nothing good can come of that.
If you want some privacy, PO boxes are cheap, so you can hide your home address by using one of those.
DH doesn't offer WHOIS protection if it's hosted here, but you can transfer a domain to a place that does and still host it here. The downside is that if it's your free domain, it will no longer be free.
I use Namecheap.com when I want WHOIS Guard, since it's free the first year and cheap to renew ($2.88 I believe).
If you go with Namecheap, try using this coupon code when you sign up, which should lower the $8.88 registration to $7.99: EVENLOWER
I just used it about a week ago on a .com and it was still active. If it expired, just google "namecheap coupon code" and you should be able to find one. I know that the one that was something like SAVE7993 just expired, so skip that if it still comes up in searches.
Quick note, since promo codes are a hot topic around here suddenly: The Namecheap coupon codes are something they put out. There is no referral fee for me or anyone else that uses them.
Save up to $96 at Dreamhost with the 96DOLLARSOFF promo code.