If driving is going to be a sore point between you and your dad, why drive together? Invite them to join you, but you do your own driving and meet them there. They can fly or drive themselves.
Same thing with your mother driving you crazy. If you think she will, try dividing the trip up in smaller doses....i.e. They join you for the first several days of your vacation. Try and make sure she will be around when you are not "being a little hard on your son." i.e. my kids are easier to deal with in the mornings and I do most of my yelling around 2:00 as we all get tired and cranky.
Rather than try and change everyones behavior (which is something you should deal with, just probably not during a vacation), why not try and schedule a vacation to avoid the points of contention.
We set our "rules" this way. We made an itinerary (keeping them in mind) and said "you'll want to join us here, here and here" We had some attractions listed for those days and they followed (pretty much, we did get distracted by teacups - and bathrooms!) Then we said "and here, here and here, we are planning on XXXXX, but we think you guys may want to use your time to do things the kids aren't interested in. You are welcome to join us at the waterpark if you really want to, but I think you'd enjoy browsing Epcot/seeing the Hall of Presidents/etc, more" We had made reservations for dinner with "you are welcome to join us or not" - and although they talked about maybe doing something different, we ended up meeting for dinner each night.
We paid for everything, so that wasn't an issue. We did the inviting to a place that my mother in law would never go on her own. And we picked restaurants she wouldn't have. They did pay their own way when we weren't around - so they picked up most of their own lunches. Our aunt did try and give us a little cash, which we accepted.
My mother in law didn't do much butting in - the amount of sweets (pop and such) my kids ate was mentioned more than once, but I just didn't bother to reply - or replied with "well, its vacation and I've already said he could." We had one meltdown which my stubborn husband didn't pacify in a restaurant that my mother in law gently critiqued - we just responded with "well, given the location in the restaurant, we couldn't pull her out kicking and screaming - and once DH decided to hold his ground it needed to be held."
I did need to do a lot of "compromise" that I don't know my mother in law even knew I did - and my husband, who knows my Disney habits best, only realizes a little. i.e. I want to be at the parks when they open. We usually arrived a little late, and took a cab to accomplish that much, but I didn't let it get to me and I don't even think my husband realizes I "noticed." I ate better (as did the kids) because I didn't want to hear to many critisisms on that point (and our aunt was doing Atkins - so everyone ate less sugar) - which really wasn't a bad thing - vacation tends to encourage junk eating. I wanted to get my "just 40 inch kids" on some big rides that I thought they could handle - and it just didn't happen. But there will be a next trip.
I did - before we even left - book a
Disney cruise for this winter. Whenever I felt that my mother in law was "getting to me" I could think about the cruise coming up - or the next trip down the road.