Both institutional Democrat and Conservative parties are towards the right side of the spectrum, yes.
The Democrats doing this is entirely their fault though. There are a number of issues where people actually skew left if the framing is set up in a certain way. The fact that they're chasing the GOP will likely blow up in their face when they lose support from their supposed "own" base because the party fails to represent them. The establishment Dems don't represent the views of Bernie or AOC, for instance, and those candidates best align with my current views.
If Dems end up losing, it's because they didn't recognize the potential to seize their own destiny. The same's been true since 2016.
Climate? Fucked. Safety? Fucked.