normal evidence gathering is not the only way to know something reliably.
By "normal", I assume you mean: through observation, testing, experimentation, logical inference etc? What then consititutes this 'ab-normal' evidence gathering of yours that is reliable. How precisely is evidence being gathered?
isn't it rare for even two people to perceive the same experience the exact same way?
I wouldn't say subjective experiences are necessarily "rare". To use on example, I would consider the subjective experience of 'flying' in a dream as the complete opposite of "rare", indeed it seems very commonplace. I suppose it depends entirely upon what you mean exactly. If you meant, for example, the "experience" of getting raped, then - I would think - it's probably a lot more rare for men than it is for women. Whereas women wouldn't say such experience was 'rare', (depending upon what scale we use), men likely would. Please be specific.
worship is simply a deserved appreciation for what you've experienced
I don't understand, kindly explain this in detail. Is this to say that when you experience something pleasing, that we all generally do, like love, harmony, peace etc that you 'worship'... whatever it is you worship and for whatever reason you worship it, but that when - like pretty much everyone else - you experience that which we typically regard as displeasing, such as death, decay, pain, suffering, cysitinosis, predation etc that you do the opposite of worship? Kindly provide details.
people are always so offended by that word
I would personally think that a god would be vastly more offended. An "all-loving" god and you're sucking it's butt for your own sake. We wouldn't expect or even want it from our own loved ones. When I help people, when I put myself out, (which a god cannot do), it requires no "worship" and such thing would be offensive to me, it's like my helpful actions have turned someone into a gibbering idiot. I helped you because I have love for you, blabbering on like a schoolgirl is completely inconsequential. In the realm of christianity, it's essential. Think about it.