Belief is about truth; it equates to”it is true that X”. It is thus cognitive rather than emotive. It seems odd to me to ask if it would be better to believe the things I do with more feeling. No, it wouldn’t be better, for me or for anyone. Feeling is orthogonal to truth. Feeling can’t make a belief true (except perhaps a belief about one’s own feeling). Suggesting that one should hold one’s beliefs with more feeling is like saying one should increase one’s level of cognitive bias. We naturally have feelings about some beliefs, and that can be harmless or even beneficial, but it can also collapse into wishful thinking. Holding one’s beliefs with more feeling just sounds like a recipe for dogmatism.
The whole subject is probably confused by the fact that “belief” can mean “religious belief”, and then a whole special set of rules comes into play. That’s just a mistake. Belief is much broader than religious belief, and it shouldn’t be blurred with ideas about holiness and piety and specialness. Belief isn’t spooky or magical, and it isn’t a wormhole to knowledge about God; it’s just a cognitive faculty we have, that helps us function. It should be reasonable and flexible and open to correction.
Belief isn’t the same thing as faith, and the words aren’t interchangeable. Faith can mean just trust, including reasonable trust, but it can also mean trust or belief without evidence or contrary to evidence. The two have different overtones, or ethical nuances. If one says, “Maggie believes that rock will get up and dance a gavotte”, Maggie sounds crazy. If one says, “Maggie has faith that that rock will get up and dance a gavotte”, Maggie sounds like a follower of a religion you haven’t heard of before.