I treat Jhon in the same way as I do Jane.
I treat Jhon as I do Jane.
I treat Jhon like I do Jane.
I think these are all natural, but how about this?
- I treat Jhon in the same way that I do Jane.
Is is right grammatically?
Yes, it is grammatically correct, however it doesn't sound natural and I wouldn't expect a native English speaker to use it (although I suppose there might be some context in which it would be sensible).
Your third example,
I treat Jhon like I do Jane.
although both grammatically correct and how a lot of native English speakers would word that concept, is something that would grate on the ears of quite a few people. It does sound somewhat coarse.
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"I treat Jhon like I do Jane" is not correct. The subordinating conjunction as is correct here: I treat Jhon as I do Jane. The usage might be fine in casual conversation, but it's just dumb to tell new learners that the worst way to say something is grammatically correct. – P. E. Dant Aug 22 '16 at 3:09
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Like, in an informal sense is not incorrect and if you read all of my answer, I do stress that it is not the preferred form. – GeoffAtkins Aug 22 '16 at 7:57
