there’s essentially zero writing about a Jesus of Nazareth aside from books written a minimum of 70 years after he supposedly lived.

That’s quite early for historical documents of that time. And you’re wrong. St Paul’s letter to the Galatians was written at the latest, 57 AD. Considering Jesus died and ascended around 33 AD, that’s at most 24 years after. So essentially, it’s like if someone who survived 9/11 were to come out now and write about it.

multiple sources

If you choose to treat a single book as proof of truth, why the bible?

The Bible isn’t a single book. It’s a compilation of separate writings. Bibles being a single book is comparatively a modern thing.

Why not the Torah

The Torah is part of the Bible.

or Quran? There’s certainly better evidence that Muhammed is at least a historical figure, although even that is debated.

Mohammed is a historical figure. Jesus is also a historical figure. These aren’t debated by anyone with any credibility. To say the existence of Jesus or Mohammed is debated is like saying climate change is debated.

I do not believe the Qur’an because it comes off to me as one guy with bad character writing a book for military power and more wives. It also severely contradicts the Bible.

You say that you’re a Christian; the vast majority of Christian sects condemn homosexuality and marriage equality. Christians are called to evangelize (Matt. 5:14-16), and likewise the bible says in multiple places that homosexuality is sinful

Yes, the Bible does say that homosexuality is sinful. Everyone is sinful. Evangelisation isn’t about stopping people from being gay, and that’s it. It’s about bringing them to Christ first. Then homosexuality is a matter of the Church.

1 Corinthians 5:12-13

For what have I to do with judging outsiders? Is it not those inside the church whom you are to judge? God judges those outside. “Purge the evil person from among you.”

Oh really? You’re not aware of laws being passed that prevent access to and criminalize reproductive care, or laws that ban gender affirming care? Really?

I was under the impression the gender stuff is moreso coming from scientists concerned about children taking harmful medicine. If you’re referring to abortions, that’s not about what women do with their own bodies. It’s about an invasive external procedure to destroy someone else’s body that’s growing inside of them.