Interestingly, my research revealed that a lot of modern orthodox seek or experience 'spirituality' through the outside world, rather than in the beis hamidrosh (synagogue and/or place of Torah study). That would seem to imply that the 'neshomoh' (soul) is missing in the beis hamidrosh”?
My thought... the beis medresh is focused solely on the intellect, and with the exception of the works of chassidus, remains in the realm of the legal and rarely invokes G-d or our relationship with Him. The beis knesset (just synagogue) focuses on the fulfilling of the obligations of prayer (and engages social relationships simply because that's what happens when a number of people are together on a regular basis). And while there are places in the prayer material where it’s appropriate to "stop and meditate on this concept" or "insert personal prayer here", we have so much obligatory material to get through that I think few spare the moment to do so – losing some of the possible connection with G-d.
Some tracts of Breslev teaches hisbodedus (personal speaking to G-d) to all as an important focus. Chabad teaches hisbonenus (contemplative meditation on G-dly concepts to reach Awe of G-d), though it sometimes gets lost in the intellectual focus of Chabad chassidus.
Clearly connecting with G-d can be a part of traditional Judaism, and there are several clear traditional paths to doing so. BUT I don’t see many involved in such or aware of such.
What about you?