I think I can give you some advice on that one... get a throttle controller or tune for the F150. Toyota changed the programming on the Tundra in 2013 to make the throttle response suck as well. It was extremely aggravating! Normally I drive pretty mildly, and the computer's response was to only give me maybe 20% of the engine if I pushed the throttle down 50%, with the other 80% of the engine happening in the last 50%. Very non-linear. If I really need to move I had to floor it, and of course it would give me 100% of the engine then, which meant the tires lit up, and the traction control came on, and the truck quit moving... maddening! A $90 throttle controller has mostly fixed it. A tune would cost more, but also give you more options and better performance.
The F150 turbo has more low end torque and is lighter, so should be faster off the line unless you have high gearing.