Ex. gene1 from Trichoderma reesei (encoding a beta-glucosidase) and gene2 from Nasutitermes takasagoensis (encoding a beta-glucosidase) in the same vector. Using an additional promoter, or self-cleaving 2A peptide, or any oyher mecanism...
Yes ! As I know, the vector DNA would not have any problem with that as long as the Foreign gene(s) insertion is concerned. What I think, you must be worried about the activity of these two proteins from different origins. However, the activity and stability, post translational modifications and other relevant activities would be interesting to be noticed. One should ensure that the protein encoded by these genes is quiet similar in their structural activities and the expression system is good enough to provide all the required essential suprot for optimal function/ expression etc.
Yes you can. But in that case during transformation and the replication process, you should consider the the organism through you will do transformation.
Just one precaution. I do not know the similar proteins you are referring to. But if homologous and homeologous sequences are present, recombination can occur in the wrong host strain. Sometimes mechanism is unknown and the homology prevents cloning. I cannot say more without knowing if "same type" refers to the homology of the genes as well.