“Why is criticizing an ideology hateful, and if it is, why is it baseless?”
because the specific ideology you are looking to criticize, is a criticism that has no toeles plus you are doing it very publicly to an audience that it not connected to the proponents of the ideology.
Your question lacks any sincerity. If you really want to know the answer to your question, for yourself, you would ask your rav to clarify how or if the ideology is tenable. If you personally are not interested in have concluded that the ideology is wrong, yet you want to understand how it is possible for an honest Jew to believe that ideology, you would need to address your question privately to someone who is an adherent of or at least well versed in that ideology. If you don’t know anyone to ask privately in that community, there are very public rabbanim from that community that are not hard to find.
On top of that, the issue you bring up has been well discussed and debated and you (seemingly) are not bringing anything new to the conversation.
At best, you are trying to give tochacha to a community you think is wrong, however, no cherem, psak, or announcement has denounced the community or the ideology from any prominent rabanim or bataei dinim. If I am wrong, and such a move has been publicly made, than you wouldn’t need to ask your questions here, you can just reference the authority.
You are just a bully trying to get people to think bad on other holy Jews. sinas chinam.