Tbh whilst I don't know heaps about Judaism, I would be surprised if you would find them to be significantly less homophobic/sexist than you perceive the Catholic Church to be
Also, the God of Christianity and the God of Judaism are one and the same God. So if you feel your prayer life is stale and that God is not there/not responding to you at present, you are likely to find the same thing happening with Judaism
The key difference is (dis)belief in Jesus being the Son of God - as I'm sure you know, Jews are still waiting for the promised Messiah, whereas Catholics and other Christians are not!
That said, I'd encourage you to find out look into the beliefs of Judaism more and see whether you would be able to believe in/adhere to them. Converting to Judaism is a lengthy process, so it's better to be fully committed to their ideas and practices, etc. It would be worth talking more both a priest and a rabbi about how you are feeling.
Religion is not a plaster, a fix-all or a cure. I'm inclined to think you are going through a rough patch and period of what the Jesuits would call 'desolation', rather than you actually needing to change religion. But you know yourself best. Just be true to yourself, whatever you do, and don't pigeonhole yourself or box yourself in, or allow others to do that to you
Good luck, whatever you decide