Getting access to a wireless network could make it easier to break in to a computer, because most firewalls have less restrictive rules for computers on the same LAN.
I think your dad should get his money back if a so called "computer specialist" told him MAC filtering was sufficient protection. Like viking said, MAC filtering is not really protection at all, but more a way of controlling what computers connect where.
Of course the chance of someone breaking into your wireless network is pretty small, but then again the chances of someone breaking into your house is pretty small as well... But I bet you still lock the door when you leave.
Protecting a wireless network takes very little effort and is something you only need to do once, so why not do it properly?
Oh yes btw it is important you select a strong password. No encryption is stronger than the password used.
I personally use a 63 character password with all random symbols. That is needed if you want the full 256 bit encryption WPA offers. I just store it on a flash drive so I don't have to remember it when a new computer needs access.
But of course a smaller password will usually be sufficient. I'm just the paranoid type.