Should Christians be
communistic and share all assets?

No. God is a capitalist, in that His laws provide for profits and rewards so that diligent and wise men are separated from lazy and foolish men (Pr 10:4; 12:24; 13:4). Those who do not produce enough without an act of God to excuse them are to be starved (Pr 20:4; II Thess 3:10). Notice that Paul’s order for rich men was only to the extent of being ready and willing to share some of their wealth with legitimate needs of the poor, otherwise they were to enjoy it (I Tim 6:17-19).

It was not a requirement of Christianity, not even immediately after Pentecost, to sell all you had and give it away to everyone around you. Peter plainly told Ananias that it was in his power (his authority or right) to keep his money in Acts 5:4. Grasp this! There was no burden or command forcing Ananias and Sapphira to gave away assets.

See Also

More about Christian charity: Haiti Earthquake.
More about Christian charity: What About Tsunami Relief?