If you see the Trundle vs Kayle matchup, what do you think?
-He's melee, Rylai should be in the build.
-He's a duelist, so afk farming time
-He has decent sustain, (passive) so poking is kinda pointless
At this point, i looked at your build, and cringed...
Kayle NEEDS attack speed. You had a hextech crap, and a dead man's plate. And a junler potion (WTF?)
This is how you SHOULD have built:
+
is the default starting item
+
when you know that you are planning to afk farm
First item:
freakin ALWAYS
then :
+
then finish
After that
/
then
(quick note: You want at least 35% CDR on kayle. Nashor is 20% so if you have 5 ish % in runes, then ionian boots get you there)
A full build should look like this:

Also: Mastery on kayle. Fervor.
PS: About the cull. It's a matter of preference, but when i know that i can't really go for kills, i get it, as the 450 G benefit compared to a doran item helps to cover 15 cs deficit, that i'm likely to have anyway...