The parallax angle of such distant objects is way too small to be measured. In general, the farther away an object, the smaller is its parallax angle.
I think it's currently impossible to do that - specifically, to measure the distances of ALL the galaxies. There are just too many Astronomers might take a small section of the sky - say, a square degree or even a fraction thereof, analyze the galaxies in such a section, and extrapolate. As to the measurement itself, there are different methods; the Wikipedia article on "cosmic distance ladder" can give you a general idea. In summary, the farthest galaxies are simply measured by their redshift. That is to say, the farther they are, the faster they move away from us; and this can be measured using the Doppler effect.
The parallax effect becomes unnoticeable after 1,000 light years.
all galaxies are constantly moving away from each other and are increasing in speed due to the lessening effect of gravity over the distances between galaxies and the theoretical dark energy which scientists have yet to prove the existance of
The Doppler effect changes the position of well-known lines.
Parallax is defined as an effect in which the direction of an object differs when viewed from other positions. A sample sentence is shifting perspective creates a false parallax.
Have no real effect on the merging "colliding" galaxies
Parallax is more accurate for stars that are very far away.
They don't
The definition for the word parallax is "the effect whereby the position or direction of an object appears to differ when viewed from different positions, e.g., through the viewfinder and the lens of a camera."
For nearby stars, the use the parallax effect - the fact that stars change their apparent position, due to Earth's movement around the Sun. The larger the parallax angle, the closer the star is to Earth.
The parallax should get smaller and harder to notice although in astronomy there are techniques used to find the parallax of stars by using the Earth's position around the sun to find the distance of the stars.
Massive means there is a lot of mass - and gravitational attraction depends on the amount of mass. The amount of gravitational attraction also depends on the distance - i.e., the effect will be less at larger distances. The gravitational attraction between galaxies is strong enough to make galaxies in a galaxy cluster stay together - for example, in our Local Group.