In other presidential elections, the Democratic candidate tends to get somewhat more endorsements if you add them all up, but both candidates get good numbers. The WSJ as most prominent right-wing quality newspaper has a long-standing policy of not endorsing in presidential elections, but it's pretty obvious that generally they prefer Republican candidates.
In this particular case, Trump was obviously a historically awful candidate, leading large numbers of normally Republican-endorsing papers to either endorse Clinton or decline to endorse at all - be it because of the man's pathological egocentrism, his 'grab them by the pussy' comments, his positions being all over the place, take your pick really. Doesn't mean those newspapers suddenly stopped being conservative.
Again, whose attention do you mean when you say 'all the attention'? Fox as the most popular cable news channel is certainly giving plenty of attention to the right-wing's favoured causes. Print newspapers have perhaps somewhat higher standards as to what level of nonsense they'll consider printing, so they probably wouldn't go for the Pizzagate, Alex Jones type stuff, but when there are more serious conservative issues, they'll write about them plenty.
I'm talking of course about inside the US - if you look at it more internationally, and of course if you look online the debate tends to be international to at least some degree, then obviously the American conservatives (or the Israeli ones) will find themselves at a disadvantage.