Although many are absolutists to the point of denial of sound reason when it comes to religious dogma i don't really look at people that follow religion or spirituality as necessarily illogical anymore but i used to subscribe to that view very much so.
I kinda look at it now as it being a framework & or ritual practices as an exercise for a person to better themselves, find meaning & clarity to things that are important to them on a deeper level than just going through life aimlessly reacting to what's on the surface. It's like a journey to discover some answers you may seek by looking deep within and you can use outside sources for that to stimulate growth. It doesn't even matter to me if it's a bit of a mind fk trick but the journey of self discovery and a better understanding of a fuller spectrum of the nature of things and people in order to better yourself and enrich the lives of those around you is what's important.
Where it gets odd & or wrong imo is when people get so enthralled with any one dogma as if it's the be all end all cookie cutter and i just think life and people are far more complex than that. Once you make up your mind about something that it's definitely this or definitely that well as soon as you try to definitely define something it can will slip away and you'll be missing something about it that you could have really learned something valuable from.
Even a person's morale principles and beliefs don't always have to be so incredibly rigid to where it's impractical in the real world. The world is filled with constantly changing circumstances and many variables so there is no one size fits all approach as far as i'm concerned. Generally speaking it's ok to follow some universal principles that work but don't be trapped by them or they will own you. If you can't be a little flexible sometimes even if it goes against your principles that you may hold true then you are gonna come across a lot more situations where you will make mistakes that could have been avoided.
So my take is i try not to outright dismiss things as a whole because i know i can find gems in just about any doctrine or system of beliefs. I may find parts of something that have some real use for me in giving me deeper meaning, a more rich understanding and i can apply what i learn from that to my own lifestyle as an individual.
I annoy people sometimes with this philosophy because while i am a skeptical, critical, analytical person i'm not so quick to cast judgement and draw absolute conclusion like lines in the sand as much as many other people i encounter so it makes them uncomfortable i guess because they don't know how to define or label my views but i kinda like it that way. I'm also the first to admit i don't have it all figured out and i never want to be the person that stops learning about how things work be it myself, others or the world around me because i want to become so rigidly indoctrinated in my own biases and perception on things.
Sorry for the tl;dr but i got up early this morning & i got my introvert brainstorming cap on. lol
I think in order to believe in any sort of religion, even modern ones, there is some suspension of reason/logic that has to occur. It may not be an overwhelming amount of suspension nor may it seep into other aspects of life, at all. However, there has to be some at some point in order to come to believe in the things presented by religions (even of today).