Paul and Abraham were both rich, they both toured Arabia, they both had a flair for publicity and would never have turned down the opportunity to visit the largest (and one of the few then) cities IN Arabia, and get the title of Hodge thrown in for free!
Do you seriously think that a millionaire tourist visiting America in 1899 would not have seen Niagara Falls? Saratoga? Grand Canyon, maybe Yellowstone>
But those are very UNlikely. That Paul and Abraham visited Mecca is like saying those tourists visited New York City!
Besides that, of course, we are told in Qaballah that they did so visit anyway. Muslims themselves admit they visited, and have legends about it.
I am no apologist for Islam, but I see the rise of anti-Christ identified with a revived Roman empire of some sort. Likewise, I believe the abomination of desolation (Mat. 24:15) is still future. But both of our scenarios are attempts to interpret the biblical prophecy ahead of time. I view such conclusions as hypothesis -- certainly not a "thus sayeth the Lord" level conviction.