Is there any term encompassing all those "phobias"? I mean a word describing state of hatred towards all kind of minorities?
Bigotry. From Merriam-Webster, bigot: "a person who strongly and unfairly dislikes other people, ideas, etc. : a bigoted person; especially : a person who hates or refuses to accept the members of a particular group (such as a racial or religious group)".
Interestingly, the definition in Oxford, "A person who is intolerant towards those holding different opinions", doesn't quite encompass that usage. Perhaps it's cheating to choose the dictionary which agrees with you... but in this case, my personal experience suggests that Oxford hasn't caught up with the way the word's now used (at least in the UK).
EDIT: All right. In an attempt to counter those who are downvoting every answer because of pedantic objections to the question:
The word unfairly is a crucial part of the definition from MW. So I, as someone with mainstream views on the matter, wouldn't say that someone was "bigoted against neo-Nazis" - because in my worldview disliking neo-Nazis is not unfair.
It's worth noting that the definition, and (in my experience) the actual usage, don't strictly imply "minority". In my country, white people are in the majority, but it would make just as much sense to say that someone was bigoted against white people as it would to say they were bigoted against (for example) Asian people. Like all words though, it needs to be interpreted with reference to the cultural context in which it's used - and we all know that in any given society, there are some groups of people who are more commonly subject to "unfair dislike" than others.
So I agree this isn't a perfect match to what was actually asked - but I think that it, and suggestions in other answers, are getting close to what the OP was looking for.
I think discrimination may suggest hatred/dislike based on prejudices against specific categories of people:
treatment or consideration of, or making a distinction in favor of or against, a person or thing based on the group, class, or category to which that person or thing belongs rather than on individual merit:
- racial and religious intolerance and discrimination.
Although the word "facism" is technically the name for a specific political movement, it is increasingly being used as a general term for intolerance toward others.
Such persons have an , authoritarian personality, which manifests itself as either a desire to dominate all those perceived to be unlike oneself, the desire to blindly follow demagogic leaders with simplistic solutions, an inability to see logical fallacies in the talking points of such leaders, or a combination of all these.
See this enlightening free book exploring this personality disorder: http://chasegalleryconnect.org/FNC_C/Data/Brain-Neural/Political_and_Governance_Dimensions/Bob%20Altemeyer/Authoritarians/2006%20Authoritarians%20+++++.pdf
There is also self-evalution test (the F scale) https://en.m.wikipedia.org/wiki/F-scale_(personality_test)
Of couse, all of this has very little to with English usage, except insofar as authoritarian leaders tend to use English to obscure truth and promote blind faith and ignorance, rather than using the language to promote rational exploration of alternative explanations and proposed solutions.