What should I do with misaligned sink pipes
This looks all wrong. It looks like you have installed an adjustable P-trap upside down. The upside down "U" shaped piece attached to the pipe coming from the cabinet floor is supposed to be under the sink strainer.

You need a proper tailpiece to attach to the strainer, which will come down into the "tall" end of the "U" shaped piece. The piece you now have attached to the strainer is supposed to be connected to the "short" part of the "U" shaped piece and runs horizontally to the pipe coming from the cabinet floor, where you will need a slip-joint elbow to connect them. Something more like this:



Please do it right and avoid "clamp-on" Fernco type connectors, as some have suggested. They always end up leaking.