In this great book, "Why we Pray what we Pray" the author makes note that the passage for Tizizit in the Shema was used to replace the reading of the 10 commandments.
The reason that the passage for tzizit was use are for the following reasons.
The reason we stopped reading the 10 commandments was because of people who wanted to argue that only those 10 mitzvot are required, and not all 613. The tzizit give us a reminder of all 613 mitzvot so it's a rebuttal.
During the section of the 10 commandments it mentions the sapphires that the Jewish people saw below the "Kisai Kavod". The tzizit with techelet remind the person of the ocean, which reminds them of the heavens which reminds them of the "Kisai Kavod"
Thus the passage of Tzizit is a good short (instead of the passage of Bilam, which proves that Gd not Moshe wrote the Torah) replacement for the reading of the 10 commandments.
So to answer your question. We kiss the front two tzizit during Baruch Shemar since they remind us of the Kisai HaKavod and the mitzvot which are a testament to Gds works which we praise in Baruch sheamar. We use the two front tzizit since they act as a pair of Aidim (witnesses) to what we are declaring.