Tree is leaning and trimming will not solve the problem.
I think this problem might fall under California Code-Section 3479 and how much this case against the neighbor might cost and how long the case will last.
Also, will the judge decide to remove all trees
leaning and hanging over my property.
Tell neighbor neighborly you want it done. Check with your homeowners to see if they have suggestions. Take pictures at different dates (don't be an idiot and make a big show of taking them--that will only irritate the neighbor). As to whether or not trimming will solve it, check with an arborist.But don't do the self help thing--technically you can cut what's over your yard but things happen and lawsuits start.
Ask your neighbor, in writing, to address the problem. If he does not, then get an arborist (not a gardner) to inspect the tree and provide an estimate to trim or remove the tree. Send that to your neighbor via certified mail. You are allowed to trim parts of the tree that extend onto your side of the property, but can be held liable for up to 3x the value of the tree if doing that kills or damages it.
A letter to his insurance carrier might also be helpful. Insurance companies will often force an owner to remove a potential risk. You can also try contacting the city.
If none of that works, you may have no other choice but to file a lawsuit for nuisance and ask for a court order to remove the tree.
Agreed with comments above. Think twice (or even three times) before taking the "self-help" remedy. Document all correspondence/pictures and do whatever you reasonably can to amicably resolve. Consider notifying Property Mgmt/Board if you are part of an HOA/PUD.
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