How can we worship Shri Krishna at home? Is it enough to install an idol, or are there other rituals that are mandatory?

Om Shri Krishnaya Namaha ,

the Gaudiya Vaishnavas or in general by all Vaishnavas ;

Meditate and do japa and feel the immense blessings Shri Shri Maha Vishnu Naaraayana and Shri Lakshmi Devi brings forth. May Lord Shri Krishna and Shri Radhe blesses you.

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This is just my own opinion.

5. Offer Naivedhyam ( food and drink offerings )

Gandham samarpayami

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4. and no gambling (pretty obvious as this is additive forming)

Pushpham samarpayami

In my opinion , anyone can worship Shri Maha Vishnu ( Naaraayana ) and Shri Lakshmi Devi. To gatekeep and to prevent others from worship and bhakthi is nonsensical. Shri Maha Vishnu Naaraayana and Shri Lakshmi Devi are not so uptight as us humans. If you look carefully at the images and artwork of Shri Maha Vishnu , he embodies all opulences , beauty, grace and powers. He is also a flamboyant archtype . . not as rigid as what others made him out to be.

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3. no intoxication (no tea, no coffee, no chocolates, no alcohol , no narcotics and no cigarettes),

1. no meat-eating (including onion, garlic, eggs, mushrooms, carrots?),

begin with the simple and basic 4 Regulative Principles set out by

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Naivedhyam samarpayami

So worship away in happiness and gladness, learn how to do the simple panchoupachara puja.

2. Offer Pushpham ( fresh fragrant flowers such as jasmine and red roses )

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3. Offer Sugandham Dhoopam ( incense cone known as dhupa or incense stick known as agarbatti )

2. no illicit sex (only for serious marriage, procreation and love; not for one night stands),

Dhoopam samarpayami

From an axiology/value theory point of view, how can one say that a diverse society is better than a uniform one, especially given the negative effects of diversity (racism, sectarian conflict, problems arising from extreme cultural relativism)?

The most important thing here is faith , love and devotional service. Shri Krishna is not someone whose hell bent on my way or the highway or an extremely strict disciplinary master or a psychopath. In whatever mood and approach one does, he or she or they will come to me thus Shri Krishna does not care about our measly offerings and stinking bodies even if we shower a billion times in the Ganges River. What wins him over is your faith, love and devotional service. And also with how you treat others.. if you see that Shri Krishna is in all beings , then love flows naturally and you will feel naturally blessed.

But. . . to be honest with you , a lot of Vaishnavas in India and South East Asia that I know personally , at home cooks with onion, garlic, carrots . . . so yeah . . . they only avoid eggs, meat, cigarettes, alcohol and illicit sex..

1. Offer Gandham ( sandalwood paste to the picture of statue )

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Dheepam samarpayami

4. Offer Dheepam ( one edible desi ghee oil lamp and one pure edible sesame oil lamp )

Jai Hind, Jai Shri Raam , Jai Shri Krishna.

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But if you are serious about following a spiritual path and journey ;