Look, reflexively saying "both sides aren't the same" is ignorant and actively doing harm when you use it to broadly. Are both parties the same? No. But on many issues, both parties are the same. And this is one of those issues. What you are saying is demonstrably, patently false.
The South Carolina bill passed with near-universal bipartisan support.
Same thing with the Texas bill.
On this issue, both sides are just as bad. Democrats are just as bad as Republicans.
The problem Democrats have is that they don't actually believe in anything. They follow polls and consultants, and they lack any backbone. They have no fight in them.
Look at trans rights. Democrats have completely ceded the issue to Republicans. Trans people make the walking corpses that are the Democratic leadership feel icky, so they offer only symbolic support to the trans community. Kamala, in the face of tens of millions of dollars of right wing demonization of trans people, couldn't even offer the most basic defense of trans rights and the worth of trans lives. All she could say was, "I'll follow the law."
It's really, really easy to make Democrats completely cave on the rights of any group. All you have to do is make the case to the public that it's for the good of children. Want to ban porn? Bill it as for the kids, and the Dems will be too chicken shit to say a word against it. Want to send trans people to gas chambers? Say it's for the kids, and Dems will vote for it. Demonize immigrants? The Democrats will try to outflank you on the right, competing with Republicans to see who can be crueler to immigrants and asylum seekers. Name the bill after a white woman that happened to be killed by an illegal immigrant, make defending it require effort, and Democrats will be falling over themselves to vote to send migrants to death camps.
Are the two parties the same? No. But on many issues, they are virtually identical. As long as you can make a flimsy case that some stripping of rights is for the good of the children, Democrats will ALWAYS be too cowardly to stand up against the propaganda. It's been this way since at least Tipper Gore in the 90s.