Sure you can group historical conflicts in many ways. If you say group all conflicts between Britain and opponents from continental Europe into a single conflict, surely you get a more protracted conflict than "West vs Islam", since you have at least 2000 years of conflict.

The "West vs Islam" is just a particular inane categorization since you are contrasting a geographic area with a religion. You could categorize the Reconquista as Christianity against Islam (and Judaism), and this is how it was framed at the time, but how can it be "the West" against Islam? It is a post-cold war construct to justify a certain ideology, not a meaningful way of understanding history.