Absolutely Not
As others have stated, no you can not use a focus (of any kind) while Wild Shaped, even if the animal you morph into has hands, and they are empty and holding the focus. All of the information you posted in the original question provides the answers for you so long as you cross reference them. But a lot of people have missed a crucial part of why it can't be done.
The description of the Druidic Focus says (5e PHB, p. 151):
A druidic focus might be [...] a totem object incorporating feathers,
fur, bones, and teeth from sacred animals. A druid can use such an
object as a spellcasting focus.
This essentially states that you get to create a focus out of whatever you deem worthy to call a focus; pretty neat.
The description of Material (M) components says:
Casting some spells requires particular objects, specified in
parentheses in the component entry. A character can use [...] a
spellcasting focus in place of the components specified for a
spell [but not costly or consumed components]
This is the start of the unravel. Here it says you can use a focus instead of a material component (so long as it has no cost/isn't consumed). So essentially focuses are just fluff/filler for material components that most people over look anyway, but if you don't overlook that stuff it's still a pretty minimal net gain.
Part of the description of the druid's Wild Shape feature says (5e PHB, p. 67):
- You choose whether your equipment falls to the ground in your
space, merges into your new form, or is worn by it. [...]
This portion infers that you get to wear or hold your focus if you so choose when you Wild Shape, which is pretty cool.
The druid's Beast Spells feature says (5e PHB, p. 67):
Beginning at 18th level, you can cast many of your druid spells in any
shape you assume using Wild Shape. You can perform the somatic and
verbal components of a druid spell while in a beast shape, but you
aren't able to provide material components.
This is the crucial spot. It specifically says no material components. If you recall from what exactly a focus is, it is essentially a fancy material component. Meaning it can't be used, not because you can't "hold" it, but because for Game Design purposes they disallowed it.
This is further backed up by the fact that they allow somatic components (hand and body gestures) even if you don't have hands or the appropriate body part to do the somatic component, i.e. a snake making a hand sign. So holding/wearing the material component/focus is irrelevant because it is completely outlawed in RAW.
The druid's Archdruid capstone feature says (emphasis mine):
At 20th level, you can use your Wild Shape an unlimited number of
times.
Additionally, you can ignore the verbal and somatic components of your
druid spells, as well as any material components that lack a cost
and aren't consumed by a spell. You gain this benefit in both your
natural shape and your beast shape from Wild Shape.
Doesn't this seem a bit redundant? It is because it is trying to show you that it is essentially an improvement to Beast Spells. At this point, once you reach 20th level you no longer need the material/focus component. So even at level 20 the answer is still technically no, but it becomes irrelevant because materials/focuses are no longer even needed.
However, this is D&D - so if the DM says, "Well that's stupid, you should be able to use your focus as long as you are wearing/holding it"... Then boom, there you go: the true answer is "yes, you can, so long as your DM handwaves it".
It's a matter of paradigm
When the druid takes the shape of some creature he is not really applying some physics to alter his body so in the end it looks like the creature: he is just taking the shape of the creature. He couldn't for example take the shape of a cat with a dog head (by shaping his head and the rest of his body separately): he takes the whole natural form at the same time. The whole thing has to make sense in the natural paradigm.
You can see this as menus in some restaurants: if today the menu is either chicken pie or roasted pork you can't have roasted chicken. Not because roasted chicken is hard to make, just because it is not available in this very restaurant.
A magical beast is more than just a natural lifeform (otherwise it would be an animal), probably more complex to handle for a druid. That's why the druid has to be of an higher level to take this shape (and it is also probably an issue of game design to make the last levels more interesting as you unlock these new shapes)
Dragons are typically Paizo's Mary Sues: just look at there abilities, they have perfect saves everywhere, full BAB, the highest HD... They definitely can't be considered "natural".
Feys are intelligent creatures. Druids can't take their shape for the same reason they can't take the shape of a human, an elf or a dwarf. Even if they can be considered closer to the nature they definitely can't be seen as savage animals.
Vermins are a weird case. My guess is the reason why the vanilla druid can't take their shape is because the natural paradigm only involves what is seen as "nature as it should be" and that these vermins are seen as just ugly lifeforms and not worthy of salvation (like would be viruses). The methods to take a vermin shape would have been added because of difference of point of views.
About pounce and grab it seems to be more a balance issue than because using them needs for you to better handle the transformation.
Best Answer
Yes, you can (if you're a Moon Druid)!
You already quoted the relevant rules.
To ready a spell, you cast the spell with your action in your normal shape, and start concentrating on it. Only thing that's left is releasing it.
Then you use the Circle of the Moon druid's Combat Wild Shape (PHB, p. 69) to transform into something using your bonus action. Don't forget, you spent your action to Ready the spell, and you need to release it before the start of your next turn, so Wild Shaping now is your only chance!
The description of the Wild Shape feature says:
The Moon druid's Combat Wild Shape feature description says:
And finally, you release the spell, spending your reaction and stopping your concentration.
I think your plan to mix beast bond with a Combat Wild Shape is very creative, and I'd love my players to come up with things like this. Fun games!