i think the HH on an ASS sound more tele like than the MM90's, the split tones on a HH ASS really cut through nicely, you just dont get the nice neck tones that you get with the MM90s.
I agree that only a Tele tends to sound like a Tele. Yet split coils, or in this case the #2 & 4 positions on the ASS are very functional in the world of single coil tones. When I say "functional" I mean the average audience will go with it. They won't sit there bristling amongst themselves saying, "Who does he think he is? That isn't a Tele tone and never will be...". We're generally the only ones who care about that stuff.
I'm also one who is weary of taking one guitar and trying to make it something else completely. There was a guy on the LP board not long ago asking about installing a Floyd Rose on his LP. He can do what he wants but I just cringed.
If it were me, I liked the Axis neck and wanted "that" Tele tone, I'd get a Telecaster and then acquire one of Warmoth's specially contoured necks. No doubt it wouldn't be exactly like the Axis neck. But it might be much closer to the Axis than a Fender neck. And depending on what Tele you bought, it wouldn't be more expensive than buying an Axis and modding that to Tele specs with hopes that it would actually sound like a Tele. And don't forget that they don't make Tele bodies out of basswood and maple.
There's nothing keeping you from trying to convert the Axis. But IMO the practical thing to do would be to mod a tele to be slightly more like the Axis than an Axis to be like a Tele.