The main issue with welding it back together is the difference in metal thickness.
Getting the thick plate hot enough to accept a weld without melting the much thinner metal is tricky stuff. A TIG could do it. An induction welder as well. Both would take practice. If you fail you will create a big mess, which may why others tell you not to try this.
I found that getting my fake weld puddle to look right was difficult enough without getting into welding these vastly dissimilar thickness metals.
As for the pivot, you have to take a piece of tubing, cut it to length so that it fits tightly inside of the pivot saddle area and then cut out the sides so that it forms a C, insert it next to the bushing -- and THEN press it out. The press setup is awkward.
There isn't enough strength in the saddle to press out the bushing without additional support.