Based on your tag, this is RNA-seq data.
I wouldn't worry about this distribution - this looks good to me. This close similarity in count abundance profiles across your 2 conditions is expected and doesn't imply that the individual expression of the same transcripts across these conditions will also be the same, i.e., there are still likely statistically significantly differentially expressed transcripts between both of these, but you'll have to do the differential expression analysis to find out.
Both conditions exhibit higher counts than the other at two parts: KO at around 0.5; WT at around 1.75-2.25.
One more thing: this is a negative binomial distribution, which again is expected given this type of data. The 1 is added so as to shift the entire dataset and avoid problems when logging values that are virtually or are nil/zero.