A bit late in the game but anyway:
In Gelug, the Lam Rim always starts with Guru Devotion. The Guru is described as the "root of the path". Most Lam Rim's, with the exception of a couple (for example the Southern Lineage), are in fact oriented to preparation for Tantra and their six preliminaries contain very obvious tantric elements.
The core of these preliminary practices is the interaction with the lineage, at the heart of which our Lama is one in nature with the central figure as well as being represented as he (or she) is in this life.
So in fact from the word go, long before the disciple receives HYT initiation which invariably includes Six Session Guru Yoga, the Lama is at the heart of the practice.
In fact once we establish the relationship with the guru (carefully, at least being aware of guidelines established in various texts like 50 stanzas of Guru Devotion) our 'devotion" in fact is the aspiration to take on the Guru's qualities, to understand that all we experience is in fact the manifestation of the Guru's Superior Wisdom, etc. Although in fact it shouldn't be a personality cult and a relationship of mindless dependence ("guru, guru what should i do, should i wear red should I wear blue") there are bound to be moments of overwhelming emotion when one realizes the kindness and compassion of the Gurus.
As Kirtu pointed out, most Lamas give their lives to teaching and helping their disciples. For example HHDL continues to travel at a pace that burns out far younger people. Dagpo Lama Rinpoche is even older, 80, and travels extensively to Asia, and around Europe to teach. And last month in India I saw Khyong-la Rato Rinpoche who at 90 is still travelling regularly to India and is currently giving an annual series of transmissions, about 2 months or so each, to the monks of Rato which will take 3 years to complete! There are many other examples in various lineages.
Even great yogis who prefer solitude are full of bodhicitta, there is no "cynical omnipotence". This would be the farthest thing from, for example the late Geshe Yeshe Thobden's mind. Though a hermit, he was always welcoming of visitors and radiated bodhicitta. I have no idea where that idea of omnipotence came from, it isn't even a Buddhist aspiration. Omniscience is.
When a disciple becomes aware of how such Lamas, through the power of their concentration, compassion and wisdom devote themselves selflessly to sentient beings, yes it does arouse strong emotions. But ultimately it should give rise to strong aspiration to emulate and be "as one" with the Lama's mind (developing the same qualities if you like).