God does not approve of violence for any reason. He also hates homosexuality.
No. True Christians go by Gods standards that are in the following scriptures,
(1 Corinthians 6:9-11) . . .What! Do YOU not know that unrighteous persons will not inherit God’s kingdom? Do not be misled. Neither fornicators, nor idolaters, nor adulterers, nor men kept for unnatural purposes, nor men who lie with men, 10 nor thieves, nor greedy persons, nor drunkards, nor revilers, nor extortioners will inherit God’s kingdom. 11 And yet that is what some of YOU were. But YOU have been washed clean, but YOU have been sanctified, but YOU have been declared righteous in the name of our Lord Jesus Christ and with the spirit of our God.
(Romans 1:26-27) . . .That is why God gave them up to disgraceful sexual appetites, for both their females changed the natural use of themselves into one contrary to nature; 27 and likewise even the males left the natural use of the female and became violently inflamed in their lust toward one another, males with males, working what is obscene and receiving in themselves the full recompense, which was due for their error.
But He reserves the disciplinary action to Himself. No one on earth is authorized to kill, maim, or harm in His name.