The phrase Until such time as is unnecessarily long and too much wording, and it's recommended that it should be avoided.
The process will continues until such time as some results come out.
Instead of the above quoted sentence we should write the following -
The process will continue until some results come out.
But essentially both of the quoted sentences bear the same meaning.
Now coming to your sentence, I will avoid until such time as, so in your sentence I will replace the phrase with simply until
Not only that in place of would have it's correct to write would in this case.
We decided to wait until he(our son) would finish college, before asking him to take over our law firm.
would have will be best suited in hypothetical situations.
And your last sentence with "will have" doesn't seem right to me. Because we use will have when we look back something from a specific time, with a sense of something happened certainly. Though the sense of certainty is to the speaker, it might not be true in actuality.
I will call him at 8 PM. By then he will have returned home.
The match will have started by now.