People who are woke often think that they are good, and therefore their feelings and opinions are objectively correct. It follows that anyone who disagrees is wrong, and therefore bad. It’s a dangerous ideology because it discounts the fact that we all have a capacity for good and evil. No one is good all the time, and certainly no one is good without intense introspection.
Looking for accurate historical or political information from any single source is going to lead to inaccuracies. Every single one has an interest in promoting a certain view of both historic and current events. Usually math or science facts are wrong on Wikipedia simply due to human error. Unless they somehow have bearing on a historic or current event that is contentious. In that case you are back to being unable trust any single source without corroboration wikipedia or otherwise.