Could ASICs be used to mine a "BitcoinX4" blockchain?
Any mining device can be used without alteration for mining a specific alt-chain, as long as the chain's proof of work is the same (double-SHA), and the size, encoding and position of the timestamp and nonce fields is the same in a block. The latter ensures that devices that increment those fields internally would not be altering other parts of the block header. As block speed is not a part of the header but an external constraint put on the specific cryptocoin, ASICs and other devices should be able to mine such blocks without a problem.