I think it's only the extreme right wing that doesn't like left-wing goals.
I would call myself a conservative person rather than liberal, but I like most of the left-wing goals. I just don't think the canonical left-wing approach can realize those goals. For example, I would love to have education more accessible to everyone. Simply taxing everyone doesn't do that though - you can't just throw money at it. (You also can't take the extreme right-wing approach and just punish schools for "poor performance" by taking away their funding, hoping that somehow magically they will perform better because they have fewer resources?) To get more accessible education, you have to encourage educators and instill a culture that values education so that quality supply is increased.
Same thing with health care - I'm all for affordable health care, but you can't just stop by saying it will be funded by tax dollars instead of private insurance. You have to actually fix the system, not just make everyone (or "the rich") pay for it.
I think we also have to fix rent-seeking in all its forms, but I don't even see that as a left-wing platform topic (usually on the "fringe" parties talk about this one, although right-to-repair at least is gaining traction).
This is not even getting into the fact that the left wing is more overt in its "the government knows better than you / we are putting this rule in place for your own good" for decision making, while the right wing puts on a veneer of "you can make your own decisions!" but stacks the deck so that you can only choose from a very limited selection.