Why did Mr. Anderson keep fighting the Smiths?

Possible Matrix Reloaded spoilers.

After the oracle and Seraph left Mr. Anderson on the square, he is approached by (former) agent Smith who introduced himself to Mr. Anderson again, explaining what happened with more Smiths arriving and eventually trying to assimilate Mr. Anderson, taking from him what he wanted to take from Smith: Purpose. Mr. Anderson resisted the assimilation and started fight the many Smiths. My question is why Mr. Anderson started (and kept) fighting the Smiths in the first place? It was impossible for him to intrude into every Smith to destroy them from within (but he didn’t seem to try that anyway); why didn’t he just fly away immediately after resisting the assimilation? What was Mr. Anderson’s goal in fighting the many Smiths? Eventually the Smiths almost overpowered Mr. Anderson again, telling him It is inevitable! It was following this that Mr. Anderson finally fled.

Did the filmmakers just wanted to include some good action scene even though it’s a senseless fight from Mr. Anderson’s point? Unlike the 1st and 3rd Matrix movie, the Matrix Reloaded doesn’t seem to take itself quite serious at certain scenes to be honest.