Can't disagree at all Reggi. A dozer is last machine that you need to get started on this slope.
You won't be able to shove the grade...as with a dozer. You need a sizeable front loader to start at the top and dig out to your grade...plus shoulder and retaining device that would approved by a structural guy when you get to the height that your permit doesn't trigger some engineered drawings.
I truly do appreciate your enthusiasm and willingness to take on the task. Likewise, I question your ability to take on this widow-maker by coming here to ask about the ability of the wrong piece of equipment. There's nothing simple about working along a grade. The old hands can do it because they're flying by the seats of their pants and know exactly WHEN soil is shifting or starting to slide on a sizeable piece of rock....they can feel it in their butts, they can tell by the engine sound nuance of rpm or even a track that broke loose on traction.
Keeping in mind...that road. If it's yours it's gonna be loaded with dirt, rocks and debris that roll down-hill with enough momentum to get there. If it's a HOA or county road...you'll have to deal with them. Also...if it's a HOA or a county road with right of ways, they can stop you unless you do produce your engineering for their review. If the lot is not long enough along the frontage, you may have to sacrifice square footage on top in order to hair-pin that driveway. None of this can be captured on your photo with the yellow lines...if nay-sayers do speak up, it's because there's not enough information as to what you can or can't do and still be able to drive up it to basically carry your house all the way up to the top of the incline and still be able to turn around up top and drive forward back down. That turn-around would also include proximity to where you plan to build as to how it inteferes with staging and access...coming and going.
Get your surveyor to have their PE come up with the drawings you'll need for them to set the center line of driveways as well as stake out the cut on the uphill side and the prep for fill and compaction (and preservation of compaction) on the downhill side.
Once I (as if it were me) have the drawings and the stakes plotted out to meet the property survey....I'd engage a Track-Hoe to take care of the cut and hopefully have sufficient turntable clearance to turn to drop the bucket load to start filling up your shoulder. He can...if he can reach it while on grade....tap it down while filling up the sloped shoulder. Once the rough grade is in and wide enough for everything you'll need to build your house at the top (keeping in mind all trucks; ready mix trucks and some flatbeds, a dozer can probably level it out smooth.
packing the shoulders to stay is a whole 'nuther topic...but it should get you there. BUT....in order to get the trucks, ready mix vehicles and flatbeds....the grade will have to be reasonably pitched; well drained and topped with crushed rock and crushed concrete to keep it negotiable.
Don't do this yourself.
If you're dead set on doing this....do your family a favor and up your life insurance to make it's worth the gamble. General Liability for the property while under construction...even just grading out in the event you take someone with you on your wild ride to the bottom...or any of the survivor's vehicles and claims for trauma when they jump in to locate you and save your life. Gory way to go...but it is a job for someone that runs this type of heavy machinery every day...all day.
