It's broader/easier, I think. But not much. The evangelicals are a subset that care more about specific issues. I mean, now they're super associated with the pro-life movement, but that wasn't always the case. Pre-70s, the battle lines were drawn quite differently. At that point, some liberals were associated with the pro-life thing, and posited that the answer was increased social support networks for women. Nowadays, the abortion issue has become pretty strictly partisan, and very much a religious issue. I mean, these trends have always been there, but they've solidified a lot and become more extreme(like many partisan things).
That said, it's not entirely an evangelical thing. Catholics also have had their quibbles with abortion. There are rather a lot of Catholics. I think pretty much any outreach to religious sorts at least involves a de-emphasizing of that battle. Actual position changes are bad, but the less it's brought up, the better, strategically speaking. Many catholics are otherwise reasonably liberal, and so long as they're not being pitted directly against their faith, you can appeal to them on other issues. There is a tendency on the left to refer to any pro-life attitudes as a "war on women" or similar, and this is probably horribly offputting to many. Being super eager to kick people out of the tent and describe them as the enemy makes it very hard to attract their vote.
Of course, you don't have to *be* an evangelical, religious sort to appeal to them. Trump demonstrates that quite effectively. Nobody really believes he's a born again, god-fearing sort. They just happen to believe he's the better option/useful to advance their goals. Evangelicals might be more right-leaning as a subset, but their interests are not so different from religious folks as a whole, they just place more priority on some of these.
Pew wrote:59% of registered voters think Trump has respect for evangelicals
51% think Clinton respects evangelicals
Not a huge gap there...there's little love lost on Trump, but there's still an edge, where Trump is described as more respectful. A low bar, that.
Still, it isn't enough to explain the difference. A great many religious people voted for Trump, while greatly disliking Trump. From the same survey, "41% of all white evangelicals say Trump is “a good role model”. Obviously, it was much lower for minorities.
So, it comes back to the issues. For a lot of people, they pragmatically saw Trump as the better option to get friendly SC justices to their beliefs, even if they hated the guy.