I will complete what the others said, by arguing that both sentences are correct without to, after let alone (although in the second sentence it is not incorrect to use to for symmetry's sake).
Note that let alone in itself, is an idiom that does not necessarily require the infinitival to. Also, when you have a parallel structure headed by TO, it is not compulsory to use it in the second element of the structure. Here is an example from Collins
It is incredible that the 12-year-old managed to even reach the pedals, let alone drive the car.
As I said in a comment, in your second sentence, the first to before "tolerate" can be the common head of the parallel structure. So whether you put the to or leave it out, the sentence remains correct.
Most people in this country are not yet in a position to tolerate cultural freedom, let alone (to) demand it.
This is more evident if you re-write your sentence as:
Most people in this country are not yet in a position to tolerate, let alone demand, cultural freedom.
Here, a second to after "let alone" would be repetitive and clumsy.