i wish i could weigh in a little more, but as i told digi, i just started looking at the authority and have done a bit of reading on other sites and such trying to familiarize myself with the characters. digi and lp were a bit hasty in assigning the weight they did to my opinion on this one, i'm afraid. though thanks for the props, both!!
in any event, i may not know everything about the doc, strange however, i know VERY well.
<<Fighting Dormammu (who is an uber, uber magic user) Strange blocked and shielded himself from multidirectional blasts and spells flawlessly in almost no time.... the Doctor got merged with Hawksmoor by some no-name aliens... and he couldn't do a thing about it during, or for hours afterwards>>
was that before or after strange admitted to not having enough power to battle dormammu? or was that the battle where even with all his prep he needed the help of all the defenders to pull it out? and i seem to recall dormammu effortlessly taking over strange's body on one occasion when strange was astral. that time, even WITH prep, he needed a trick AND umar to win.
point is, strange (though they are not often brought up on this forum . . .) also has his share of low showings. (one of my fave's was his getting ready to be killed by the enchantress and the executioner! lp LOVES that one . . . 😛) with LOADS of prep, strange still needed outside help to beat dracula -- even if he was a bit stronger (says lp) than usual. demons HAVE snuck up on him and caught him by surprise in the past, he HAS been ko'd by a friggin' GUN in an issue of ss (i think it was by nebula . . .)
<<Strange can use the EoA to see the Doc's secrets and use that knowledge to mess him up with drugs or something>>
speculation. perhaps he can, but it could be as easily argued that doc might BLOCK the eye's gaze.
<<The Doctor always needs a minute to figure out what he's going to do, Strange's attacks and defences are virtually instantaneous>>
you may be right here about the doctor -- i've not read enough of him to know -- but strange CAN attack quickly, but usually with just run-of-the-mill stuff, nothing potent enough to put down someone of the doc's power level.
bottom line: sure strange is powerful, but he CAN be/HAS been defeated. this hour prep extended to forever is ridiculous. doc's been up against the clock LOADS of times. why not do it then? not ALL those cases can be CIS/PIS. in an hour, he won't gather all his uber talismans, in a 1on1 fight, eternity sure isn't gonna lend him power, so both those avenues are unrealistic for this fight. strange might have a couple surprise spells (like when he made his house disappear because he chanted the long part of the spell in advance of his fight and only had to speak a single word DURING the fight) but i don't think he's gonna whip up anything that the doc (from what i've seen/read of him) can't handle.
they seem to battle in very different ways, so it's hard to say how a fight would look, visually, between them. i don't see how strange's bolts would affect the doc, and strange's shields may last for a time, but he DOES tire too, sometimes quicker than other times. and it's hard to say how effective those shields would be. digi mentioned a couple of doc's feats. damn, the guy emptied sections of the friggin ocean and left the whole us navy high and dry. without ANY effort!
based on what i know of strange, i think he would need a lot more prep to handle a guy who does things like the doc does so effortlessly. that of course is leaving out the effects of doc's (seemingly questionable) character (which i don't know well enough to really chime in on) and going strictly on the powers they wield.