I'm challenging the assumption that we know how far away distant galaxies are in terms of light years, since light does not carry with it a quality that can be measured to determine the distance it has traveled.Radar measurements of the distance of the Moon don't require reflectors. Same goes for measuring the distance to Venus and some asteroids. The speed of light has also been measured since victorian times, and is very well known.
I have to say, none of your objections so far encourage me to think you have read any primers on the subject: are you really interested in finding out, or are you just pushing a preconceived notion that it's all rubbish?
As for objections, I don't know what objections you might think that I have? Objections to what?