nominative versus objective prounouns

When you are using pronouns after the word "like", are they in the nominative case (I or we) or the objective case (me or us)?

Example: "They are like Bruce and I" .... or "They are like Bruce and me"?

[Francois]

I would say 'They are like Bruce and me', and 'They are as tall as I (am)'.

FRC

[Tdol]

After 'like' use the objective case. After 'as' both are used, though formal English and grammar buffs tend to favour the nominatice case because'as' is a conjunction not a preposition.