What a rhetorical and silly question!
Of course, we should get rid of all blood suckers! Don't hesitate, eradicate! Caveat: Mosquitoes may have important functions like pollination.
Hematophagy is an aberration of evolution (or a dead end in the tree of life) in my dim, narrow view! What are they good for other than spreading diseases? Do they help train our immune system this way?