Eh, not really overall. I think you're misinterpreting a lot of things. I don't really know where to start, so...
First of all, Nepal has influenced Tibet, and the general lower Himalayas, a lot more than the other way around. Buddhism started in Nepal and traveled through much of Burma and South East Asia before being prominent in Tibet. Mahayana Buddhism started and evolved in India. By the time it reached Tibet, it was already a millennia old. Tibetan Buddhism is branched off from Indian Buddhism and became distinct less than 1000 years ago. It then became major in most of Tibetan Plateau. Mahayana was still primary in Nepal, but was gradually replaced by Hinduism after Indian royalty exiled to Nepal during Sultanate. Line between Hinduism and Mahayana Buddhism in Nepal is blurred and it's basically merged due to this. Most complete (or remaining) Buddhists in Nepal are Tibetan Buddhist due to this, and also because of influx caused by Chinese occupation of Tibet.
Now, racially most of Southern Nepali are similar to North Indians (Indo-Aryan) and Northern Nepali are similar to Garhwal and North East Indians (Tibeto-Burman), nothing to add there really. Linguistics are same. (Devanagari in South, Burmese in North). Tibetans are, well, Tibeto, but also Mongoloid. Infact, Tibetan Buddhism spread to Ladakh/West Tibet due to Mongol Empire.
Food! Food is hard to base your point around because of mix cuisines and general merging of variations during last century. It's general Tibeto-Burman food that we find interesting because rest is similar to ours. You'll find food similar to Nepali in North East (especially Sikkim, Meghalaya and Tripura, where it's basically identical). You can also find them in Garhwal regions. Difference is presense of pork in NE, Vegetables in Nepali/Indian versions and Chicken/goat in Tibetan versions.
I don't know about Burmese food, but it would make a lot of sense if it's identical with higher use of Pork.
Generally speaking, it's Nepali influence that we see in most of Himalayas, and before periods of conquest during medieval era, South of Himalayas and North of it were very different.
If we compare similarity, Nepal would be second only to Pakistan. The points you made would all suit for Bhutan. Nepal feels a lot different and Sikkim feels very similar to remote Nepal areas.