To some degree, the left should be critical of science, especially as a product of the capitalist institution of The Academy® which produces research through the systematic exploitation of low-power laborers and students. Scientists reflect the cultures they live in, including deciding who/what are valid and worth protecting and advancing.

That said, science isn't inherently doomed to be it's past and it isn't the homogeneous, well organized threat some perceive it to be.

A big part of the barrier the left may have with fully embracing science is that in general people have a very narrow view of what science is, should be, and could be. For a lot of people, science = technology, and technology is loaded. The less well-known (but much more common) side of science and non-scientific research are all the folks working to make technological and policy advancements more participatory, fair, just, and equitable.