Or let me help you out to present the "right" solar system on such a solar eclipse, with just common jpg pics.:
Let’s go straight to the description.
In Texas (or places with the same longitudes), at midday ~ 12:00 AM, on 2017, August, 21st ~ the earth, moon and sun are lining up.
And then the Moon goes eastwards FASTER than the Earth’s eastwards rotation speed. The Moon WILL separate from the Sun (at most 180°) till the next day at midday, the sun and the moon will “reunite again”.
This is the flaw of Solar System. The reality ain’t that way.
No, that is a flaw with your strawman.
That isn't what is observed in reality at all.
Instead, for HC reference frame, the sun remains stationary, while Earth orbits it, spinning on its axis so the sun appears to move to the west and after ~24 hours the sun will appear to be in roughly the same position in the sky.
The Moon orbits Earth to the east, at a slower angular speed than Earth rotates and thus it appears to move to the west, but slower than the sun.
After ~24 hours, even though the sun is back to the same location, the moon is not. Instead the moon has fallen behind quite considerably.
After 2 weeks, the moon is now in the complete opposite part of the sky, so instead of being a new moon (or solar eclipse), it is a full moon (or lunar eclipse). Then after another 2 weeks, it has fallen behind so much that it is now back in line with the sun.
This is because its orbit takes roughly 28 days (and varies depending on what frame you measure it in), and thus each day it would drift by roughly 360 degrees/28 = 13 degrees. Over the course of 1 hour, it will drift roughly 0.5 degrees.
And do you know what else that nicely matches up with?
The sun has an angular size of ~0.5 degrees, and so does the moon.
That means if (for a single location) you consider starting with the moon just before the sun, it will need to move 1 degree to get to the other side of the sun, which will take roughly 2 hours. And that is roughly how long the eclipse lasts for in a particular location.
(it is far from perfect with the rough rounding).
So the actual solar system model matches reality quite well.
Perhaps you should stop making assumptions with strawmen and deal with the real model.
In reality, the sun and the moon always go together all day long till tomorrow with difference of around 11° per 24 hours.
So are you saying that the sun and moon magically stay together and then magically after 24 hours the moon jumps 11 degrees?
Or are you just directly contradicting yourself in a single sentence, first saying they stay together but then saying they drift apart?
Again, the sun and the moon are supposed to relatively go together all day long, not separated as shown in such a Solar System model.
You can "suppose" that they magically stay together all you want. In reality, the moon and sun drift relative to each other.