Funny one-path
Your own Ramadan pre-existed before Muhammad, so did the pilgrimage, the five prayers, etc.
These were all pagan rites, which Muhammad or his followers mixed with the Judaic religion.
You kiss a black stone, that supposedly fell from heaven. The trend to worship meteorites was common in Muhammad's time and kissing was a sign of worship and honour.
It is also a fact that Muhammad's followers after his death were somehow reluctant to kiss the stone, but did so only because they had observed Muhammad do it.
If Islam is so free from idolatry, explain why hundreds of thousands of Muslims every year so eagerly give their honour and respect to a STONE?
In my country which is not influenced by ancient Rome or Babylon Christmas was originally practiced to celebrate the end of the winter, and the arrival of the brighter days.
Hence there is no need to state that because Christians celebrate Christmas they necessarily celebrate a Roman or Babylonian festival.
In my case Christmas is first and most a cultural thing. No paganism is attached to it.
Can you say that about your pilgrimage and your black stone?