Well are they 35's or 37's...? kind of matters quite a but...better what exact size are they...not just dia. There can be quite a bit of diameter difference even among just a 35" tire depending on dimensions. Better yet actually measure the tire overall circumference. You can get the revs per mile from the manufacturers specs or use a tire calculate like this one below but measuring is even better but the calculator gets you close enough.
Just click on the tab tire size calculator..punch in your actual tire size and note the revs per mile. Then punch in the stock size that came with it..should be on the drivers door pillar I think. If you are running 37's uncorrected you might be way way off depending.
https://tiresize.com/calculator/
Your last fill up was what..9.1 MPG or so. If you are running big ole tires and the computer is not corrected your calculated MPG will suck. Assuming that is so....you probably are getting closer to 11-12. For city driving mostly with big damn tires I don't see a huge issue...assuming an uncorrected Rev per mile.
You really need to know exactly what size tires you have not just they are 35 or 37's.
So bigger than stock tires..a big ole lift..an uncorrected speedo and odometer...your probably about right. Also how wide are they..are they big old mud swampers or narrow highway tires..usually don't see guys puting a narrow 35 or 37 on. So..wider the tire the less the MPG due to simple increased friction to the road via a larger contact area. Won't kill the MPG by a huge amount but start adding up uncorrected odometer..big wide tires with a larger diameter and a big lift and it adds up quickly.
Your Dad has a 7.3..but how different in setup...? So might not be fair to compare?
Now..I was able to correct mine with an SCT tuner. Some people say they have not been able to so I can't promise you will. It can be corrected in a tune but then you need a tuner like an SCT anyway first so.....?
Can try the Ford dealer first and ask them. Oddly I have heard conflicting answers on that but I have no first hand knowledge.
Last..do you have a GPS or smart phone...or do you know where this a measured mile on the highway. I grew up near the Grapevine in SoCal and know there are ones along Ca. highways.
Either find a measured mile and set your trip Odo to 0 and try and go 10 miles if possible and see what the split is from the two....bet your off by a half mile.
Or use your GPS for speed and hold it on a straight highway for a few miles. Set the cruise and see what the split is between the GPS and speedo speed. Either of these methods will give a rough % of or if your comp has been corrected for revs per mile and if not how much off.
But I would not start chasing other issues first until you know this info and correct for it...either with a computer flash or tuner..or just mentally. Don't start chasing what iffs until you know your data is accurate and never assume the PO knew what he was doing.
I think if you are averaging 12 MPG in mostly city with big ole tires and a lift...then you are about right.
If you were all stock...and driving mostly highway with some city then you should get at least 15 but would think 16-17 would be reasonable mostly highway at 65 MPH.
As a note.. I have an F350 dually... slightly larger than stock tires and 4.3 gearing. I get 12-13 mixed and about 15.5 mostly highway at 60-65 unloaded. Hand calculated with corrected odometer. Best all highway MPG at 60-65 was 16.8 MPG.