Here we see comic Hawkeye and movie Hawkeye, having two seemingly unrelated conversations. To understand why, you need to be familiar with a couple different bits of pop culture.
On the left, we have a paraphrasing of a famous speech from the final episode of MASH. On the right, probably the only memorable line from Last of the Mohicans.
The guy speaking in MASH? Hawkeye Pierce.
In Last of the Mohicans? Natty Bumpo - known by the nickname "Leatherstocking." Also by the names "Straight-Tongue", "The Pigeon", "Lap-Ear," "Deerslayer," "Pathfinder" and "The Trapper." Oh, and "Hawkeye." Yes, two toys of Hawkeye, delivering lines of dialogue that came from other characters called Hawkeye. That's all this joke is.