A petition may be a good idea, but under no circumstances should there be any suggestions of characters, designs, story ideas, etc. That is simply not the way studios do things and more likely than not, at the first sign of outside creative ideas, the thing would be relegated to the nearest dumpster. Studios are phobic about any chance of being sued for copyright infringement.
Because of this, one of the reasons there probably wouldn't be a series based on any of the previous series is that writers in general and Berman and Co. in particular do have some proprietary rights concerning characters that they have created. Hence no T'Pau as a regular in ENT and Ellison's recent grumbling over the rumored non-authorized use of the Guardian of Forever in STXI. Ted Sturgeon's estate would have to be paid every time the character was used so that made T'Pau's use a a regular non-feasible financially.
The most likely things to happen are either a series set post Berman era, a reimagining of that era, or set during TOS era.
Of course, all of this is just wild speculation as none of us are connected to CBS/Paramount...or are we
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