Fanum
Toubab
Nothing wrong with mixing tyres. Nothing wrong with TKC on the front and road tyre on the back. I quite often end up with that combo. The rozzers make silly jokes about it but wtf do they know.
Most traffic plod know enough to nick you if you mix radial and cross ply.
Back to common sense.......may I?
The only issue (as I see it, and this is only my BS opinion) with mixing tyres is the design issue.
Some tyres are designed to lean in quickly (IE have a fairly pointed profile with angular sides) and some are designed to get as much flat grippy rubber down as possible (TKC80, fairly round profile, even-ish grip until extremes of angle are met)
Mix the two extremes and you end up with one end that wants to dip in and the other that is fairly neutral, or that just wants to grip, or that wants to do something different because of its physical profile.
That in itself isn't a major problem, unless the profiles of the two ends conflicts in design intention.....that could, in theory, lead to some odd handling characteristics, potentially even dangerous as you approach more extreme angles of lean and the breakaway limits of one end don't come close to that of the other end.
Common sense.....
similar profiled tyre shapes of similar block patterns, mix and match to your heart's content....A TKC80 front with an anakee rear, been there, done that......a TKC rear and a heidi K60 front? done that too.
Very different profiles, very different compounds, don't fuck about with that mixup
unless you know what you're doing, understand what each end will be trying to do and want to achieve a specific aim in the handling of your bike. 
A sports rear and a TKC80 front?
You're asking for trouble, unless you REALLY know why you want that combination and understand exactly what the limits will be in cornering, acceleration, cornering under acceleration, braking and so on.
It ain't rocket science