Your home page should be about conversion. What's your conversion rate? (what % of new users end up buying something?)
You mention that your projections are WAY better, can you back that up? If you have hard numbers then that's what you should have front and center. Otherwise tell people why your optimizer is better (use the shortest, simplest words you can find, backed by images).
fantasylabs follows a solid formula for structuring their landing page -
[CTA]
[Testimonials]
[Feature 1 and how it helps you]
[Feature 2 and how it helps you]
[Feature 3 and how it helps you]
[Feature 4 and how it helps you]
[CTA]
It's boring and pretty much how all SaaSs market themselves, but it works.
Your website is a portal, which would only work if your content is compelling enough to have people who aren't members save it as their browser's homepage, or at least have people keep coming back to your website every day (like reddit or CNBC). Is your content compelling enough? If not, cut it from the home page. Only keep CTAs and information on the product that you're selling.
Don't have 2 equally weighted CTAs on your homepage ("sign up and play for free", "purchase optimal lineups"), every choice a user has to stop and think about is a mental fatigue that could cause the user to drop out of your flow. Have only one signup CTA. Either get rid of the free option, or get rid of the paid CTA and allow users to upgrade to paid packages later in the flow (this would take more dev work than just a frontend layout change)
If that's too expensive for you right now, at least do some serious rethinking on your copy
"FREE ACCESS TO OUR PREMIUM CONTENT AND OPTIMAL LINEUPS" "BUY ACCESS TO OUR PREMIUM CONTENT AND OPTIMAL LINEUPS"
I'm sure the only difference isn't that one is free and the other is paid, but that's what the copy says. What are the benefits of the paid packages since you already seem to be offering the same things to free users? This is confusing, and again, forcing people to think makes people drop out of your flow.
And finally, rethink your visual hierarchy and cut down on unnecessary cruft.
If everything is loud then people don't know what to focus on.
If you have too much copy then people won't read it.
Make your message simple.