They lose another equally important gene in order for the mutation to work.
Not the case. For instance, one type of mutation is duplication of genes; due to strand slippage during DNA replication it's possible for genetic sequences to be replicated multiple times.
This is a type of mutation that takes nothing from the genome; it only adds. When these duplicate genes are mutated further they can result in additional function in the genome with no loss or tradeoff. New genes can and often are added to the genome.
Perhaps we need to re-evaluate how species emerge in the first place.
Allow me to politely suggest that you need to evaluate it for the first time, as you appear to have been fed a steady stream of inaccuracies about one of the best-supported theories in science. (And your idea that scientific information is being suppressed is a conspiracy theory.)