As an outsider looking in, no.

The democrats seem as likely to choke down on speech, but it tends to be speech that represses others. The republicans choke down on speech that contradicts their vision of society or their personal moral compass. Although both contradict free speech absolutism, they are IMO fundamentally different.

I find democrats efforts misguided, but rarely are they "my views only, exclude all others". They don't typically involve library book challenges, what appear to be ctrl+f searches for specific terms that relate to people unlike them, don't involve "report on your coworkers" type demands, and so on.

And most of all they don't seem to identify any and all differing views as "enemies" and so on.