Even if Uganda was a perfectly functioning democracy and even if there was no influence taken by external Christian fundamentalists pushing for such laws and spreading propaganda and whatnot:
Most people in favour of democracy also realize that a democracy can become a tyranny of the majority and that minorities need protections.
Otherwise one could obviously argue that it's perfectly alright for a democracy to... say... enslave a minority if the majority is in favour of it. Or to dispossess a minority of their businesses, homes, to remove their voting rights, put them in prisons or concentration camps etc..
So, no, when a democratic nation comes to the decision to abhorrently violate human rights, we don't respect that. Human rights stand above the will of the majority in most countries' laws and that's a good thing.

..so it's ok for the West to live in the past and try to rule over Africa whenever they do something that Europe or America disagrees with?

Since I mentioned this one and other Western atrocities before: Wouldn't you want the international community to get involved if, say, the Holocaust was repeated? Do you think something like that should be left up to the rulers of Nazi Germany?

Are you really trying to compare what happened to my family to being put into jail because a person is gay? You realize how insulting your comparison is? My family couldn't change their ethnicity but a gay person can decide not to engage in "homosexual behavior"[1]. The two scenarios are NOT the same, my family never had the option to "stop acting Jewish".

Is the idea that, as long as they don't attack foreign countries, it's okay to do that to their citizens? The Holocaust didn't start with the concentration camps. At first, people were disenfranchised, lost their public rights, their businesses, their estates and so on. Then they started getting arrested for trumped up or nebulous reasons. Then they started vanishing. And considering this is the same Ugandan law that had the "kill the gays"-part attached to it in an earlier iteration, I don't think the comparison is far off at all.

If Uganda starts treating gay people like how Germany treated Jews(systematic genocide), then I'll agree with you that there should be foreign intervention. HOWEVER, if they are just jailing gay people, then I would say that I disagree with it but I will not support foreign intervention. My reason is that it doesn't make sense that Uganda should be punished for this, but places like Saudi Arabia, Qatar, Iran[2] are not subject to the same disciplinary action by the West. Now, if that were to change, and the West stopped playing favorites with other countries, I might be willing to support intervention.