[and hence connecting to God] with each word of Torah that they utter from their mouths while studying.”
Speak for yourself. We absolutely consider it a mitzvah and a connection to God.
“modern orthodoxy is about compromising halacha.”
Nope. As Rov Soloveitchik z’tz’l is reported to have said, “Moderation is not compromise.” And he had a very close relationship with R’Kotler, even raising money for him.
“The issue with Modern Orthodoxy is that their Judaism carries no spiritual significance”
Again, speak for yourself, not for others — and unless you have the power to read minds, don’t question the spiritual lives of others.
For me, there is tremendous spiritual value in doing something — anything — that is commanded by my Creator.