I don't think the issue is Jesus or God really, but more in regards to how people interpret the texts. Which as usually seem to be rather loosely or whatever seems to fit.
If we are to believe the OT, I think one would have to be a bit naive to not accept that God is not fond of homosexsuals, especially men, not sure about women.
Jesus on the other hand doesn't talk about it at all, the closest one can come to it being the case as far as I know, is that Jesus reference the law and say that nothing should be changed. He also uses an example from the law and that it should be followed as God commanded. So I think one could make an argument that Jesus is not for homosexuality based on him being in support of the law and there not being any particular reason to why Jesus would support the whole law, except the part about homosexsuality.
Well that is what it is, where the problems occur is not especially with Jesus or God, its about the double standard of how the religious texts are interpret.
Because if the law is not longer in effect as many Christians say it ain't, then clearly the law about homosexuality is not longer in effect either. But it doesn't really seem to work that way, because some of the laws like you can't eat certain things, that is clearly not effect anymore. And then you have laws that are just ignored, like parents having to kill their children if they curse them, which is the very example Jesus uses himself. But that one we ignore. We also don't have to kill homosexuals if they are together as a man and a women, because that part of the law is not in effect either. But they can't be married either, because something in the bible say that it should be between a man and a women.
So adding it all together it is a huge mess of "I think it should be like this.... because", it is not the least consistent in regards to the bible, Jesus and God. It is purely humans own personal opinions about what they think it should be, nothing to do with Jesus or God.