Punishment here results from idolatry, not eating forbidden foods. The prophecy mentioned in the OP the refers back to the previous chapter which says:
I have stretched out my hands all day
to a rebellious people... 3 Offering sacrifices in gardens
and burning incense on bricks 4 Sitting in tombs
and spending the night in caves,
Eating the flesh of pigs,
with broth of unclean meat in their dishes...
It is possible that the OP's verse was misplaced due to a copyist's error. In any case, it does not refer either to the present day or to the time of the messianic kingdom. Verse 18 begins a new prophecy that indeed speaks of such things as "new heavens and the new earth," but the two previous chapters refer to earlier events, the timing of which is uncertain.
To answer the OP's question: Pork is still banned for observant Jews. Christians, as Gentiles, are not bound by this rule. (see Acts 15:20) Eating pork and mice was forbidden, but no punishment is stipulated for it other than that it makes a person ritually unclean. The punishment referred to in Isaiah 66 results from the implication of idolatry as a result of participation in a pagan garden rite. Here again it is the previous chapter that is relevant:
Offering sacrifices in gardens
... Since they burned incense on the mountains,
and insulted me on the hills, I will at once pour out in full measure
their recompense into their laps.