Why do you think the mom killed Jon Benet?

They've never said what the actual evidence of sexual molestation was

I think usage of the word "hence" in the ransom note and its usage by Patsy has been noted. For example, it was discovered that Patsy had used the word "hence" in a letter she'd written and she used it the same way it was used in the ransom note: when using the word "hence" it is not necessary to use the word "and" before it, but it is used this way in the ransom note and in the letter Patsy wrote.

Since we're on the subject, I think it's worth pointing out a couple of other traits in the ransom note that indicate that Patsy is the writer:

1) "The delivery will be exhausting so I advise you to be rested."

Not only does the author seem to care about John, but it's as if they're concerned particularly about him getting enough sleep. According to John he slept through that night because he took a supplement called Melatonin to help him sleep. Who but a family member, particularly the one who shares a bedroom with John, would have been aware of this and had it on their mind?

2) "Any deviation of my instructions will result in the immediate execution of your daughter."

Since the family does deviate from their instructions by calling the police, this is probably meant to explain why she was found dead and not alive. Yes, many ransom notes feature death threats if the authorities are contacted, so I'll move on to the very next sentence for now.

3) "You will also be denied her remains for proper burial."

Not only does the author value a proper burial for Jonbenet, but they seem to have a particular idea as to what constitutes a proper burial and even imply that they and John share the same beliefs about what constitutes a proper burial. Remember, the Ramseys have stated that they are Christians, and if I'm not mistaken their priest or pastor was at the house with them when Jonbenet's body was found. Honestly though, who else would have a "proper burial" on their mind but a parent who already knows their child is dead?

4) "The two gentlemen watching over your daughter do not particularly like you so I advise you not to provoke them. Speaking to anyone about your situation, such as Police, F.B.I.,etc., will result in your daughter being beheaded. If we catch you talking to a stray dog, she dies. If you alert bank authorities, she dies. If the money is in any way marked or tampered with, she dies. You will be scanned for electronic devices and if any are found, she dies."

I'm making note of this to complete the point I was originally trying to make with my 2nd ransom quote. Since the death threat was already made (see the 2nd quote) all this (the 4th quote) is unnecessary. It seems the point of this is to provide an explanation as to why Jonbenet was found dead and not returned safely. More importantly though, this section provides an explanation as to why the kidnappers made no attempt to contact John.
According to the letter the Ramseys were being monitored - the kidnappers would know when John had the money and whether or not he contacted the police. The kidnapper says he would call John between 8 and 10 AM, but when 10 AM came and went with no contact from the kidnapper neither John nor Patsy were worried. Shouldn't they have been particularly worried since they contacted the police and were warned that doing so would result in their daughter's execution?

Patsy called the police before 6 AM, allegedly without even reading the note all the way through. This would mean she called the police before reading that they were being watched and that Jonbenet would be killed at the first sign of police involvement. The ransom note thus explains that, since the police were called and arrived at the scene before 8 AM, Jonbenet would logically be killed leaving nobody to exchange for the $118 000 and therefore no reason for the kidnappers to actually call John.

There are many other things worth mentioning about the ransom note, but I believe these are important factors pointing to why Patsy was the author of the note, perhaps with John's input. There are many clues pointing to the fact that it was the parents, but I believe the note itself is meant to provide a kind of narrative for the police as to why Jonbenet was not returned alive.

There is zero evidence that Burke did it. There's only conjecture.
Burke is not deeply disturbed. He was able to go on, attend college, etc.
The parents would have called 911. They would have hoped for a chance. They wouldn't have posed their child that way.
It wasn't clear at all that Burke was jealous of his sister. There's no evidence of that. Children fight and go back and forth about which side they think the parents are on.
There's no evidence that he had any anger towards her.
The CBS show mentioned that a former nanny said, she wasn't on the show, something about him smearing feces in a bathroom once. Maybe that happened and maybe it didn't. Small children do strange things. He may have seen it on South Park or didn't like the nanny. If it happened then it can be a sign of a deeper issue or just a tantrum. It would have to be fully addressed in context. Feces in her room was most likely transfer. Children don't wash their hands very well. They've tested ladies' handbags and found feces on them due to taking them into bathrooms with them and that feces can also then be transferred.

I hope so too but it won't happen because the Boulder police was too focused on the family.