It's not easy to understand the style of play you are looking for here, perhaps you could give us a bit more insight?
Looking at your tactic it's entirely possible that some of your instructions and role/duty choices are working against one another and that could be causing you problems. For example you're instructing your players to play the ball very short and work it patiently into the box, whilst also telling them to play lots of through balls and keep the tempo high.
Similarly there's some conflict in asking the team to:
play short passes and concentrate play through the middle of the park, whilst stretching them out as wide as possible.
play with a high tempo but to frequently waste time.
overlap on both flanks whilst using defensive inverting full backs (overlap generally only affects full backs and wing backs
employ a positive mentality and ALL offensive players on an attack duty (similarly with the midfield all on support, and defenders all on defend, there'll be little movement between the lines)
form a diamond defence but step up with an offside trap (all the while using a mega high line)
Personally, I would try the following:
Mix up the duties, put your wingers on support (when starting this high up the pitch wingers tend to play more like wide forwards anyway).
Try an advanced forward and attacking midfielder (a), or pressing forward (s) and shadow striker combination. The AF moves into channels opening up space for the AMC, whereas the PF and SS should switch places frequently without minimising your press.
Drop the CM's into the DM line or put one of them on a defend duty (the CM probably)
Have one DC as a ball playing defender and the other as an orthodox defender (utilising a libero in a back four is very difficult to pull off)
Have more orthodox full backs; I find the FB(a) is a great blend of attacking intent and defensive responsibility.
As for the team instructions, maybe start with:
positive mentality, shorter passing, play out of defence, work ball into box, take short kicks, distribute to CB's, counter-press, higher defensive line, high press, press more often/much more often, prevent short GK distribution
or (if you prefer a more direct style of attacking)...
balanced mentality, standard passing, higher tempo, play out of defence, pass into space, take short kicks, distribute to CB's, counter-press, counter, higher defensive line, high press, press more often/much more often, prevent short GK distribution
I find a balanced mentality is a good place to start with top heavy formations like the 4-2-3-1 or 4-2-4.
Be more Moyes and less Pep
Good luck