No, not at all. I like where you are going. I may not eventually understand where you've got too, but at least I might be able to read the signposts along the way.
So, do stars evolve?
No. Populations of stars (i.e., globular clusters, galaxies, etc)? No. Stars do not replicate in a manner condusive to evolution. At the very best, they go nova, create a nebula, and this collapses into new stars. However, there is no mechanism by which the traits of the old star are conferred onto the new star (except by chaos theory, which isn't particularily useful).
Now, globular clusters and galaxies
are populations of stars, and the frequency of various traits (stellar temperature, radius, mass, ratio of constituent atoms, etc)
do vary with time. However, the important thing is that such traits are not
inheritable. Thus, populations of stars do not have changes in
allele frequency, which is the definition of evolution.
That said,
universes may evolve: if a universe is created whenever a black hole forms, and if the traits of that universe are determined by the traits of the previous universe, then universes will evolve. Specifically, those universes whos 'offspring' do not have traits conducive to forming black holes, then no further universes will form, and thus that 'genetic' lineage will die out. On the other hand, if one universe is particularily apt at creating black holes, then its traits will proliferate throughout the population (the multiverse, I guess).
Of course, we have no way of knowing if universes are created by black holes, or if a universe's traits (universal constants, laws, etc) are determined by the pervious universe. Interesting theory, though.