Brooke and Wilfred are two poets with opposing views, but it is important to notice that they both have something in common regarding their writing.
is it writing or writings
Well, that would depend on you! Writing = as a whole but writings = all the pieces of poems, etc. that they do.
Sra
I think both are correct.
However, I suggest you rewrite the sentence:
Brooke and Wilfred are two poets with opposing views, but it is important to notice that both poems have something in common.